Пусть
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAUCAYAAAC9BQwsAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADqSURBVDjLY2hsbGQgBzMMrMZVDAxMDAwMzDgwI1aNHR1pPB6yjLuBCv4A8V+gun9QNphvHNvgjVVjfX2spLFxZB2IXZ3lYiQr67kiraODBywXGWkYW18vSdCPOW6yJbJuOcUwflZWlgpRgRNlzLAQ3WkENZaXx0oZMRjtRncaQY31kca+DMbRC0iOR2KciaERlzNDwfH4H3s8giK/NtLQj8EoYhEDwyomlGhiYLiNHMpwjaDId5dl2AWPcFn3XbA4BOGGaGMfrBoJYfprBPkdqLEEOaET1AQKHCMGhlsMDHIvPYobDAYuIwMAKkKJQ2gICFoAAAAASUVORK5CYII=)
- произвольная максимальная подгрупа в
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
- максимальная подгруппа в
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAUCAYAAAC9BQwsAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADnSURBVDjLY2hsbGQgBzMMrMZQBgZmBpz4PyNWjR0daTwesoy7gYr+QDDjPwSb4Y9xbIM3Vo319bGSxsbRtSB2dZaLkays54q0jg4esFxkpGFsfb0kQT/muMmWyHrkFcH4WVlZKkQFTpQx00J0pxHUWF4eK2XIYLQb3WkENdZHGvsyGEcvIDkeiXEmhkZczoTE7yomrBpBkpWRhn4MRhGLGBhCmVGiiYHhtqxbTjGGRkjkM+yER7isx05YHIJwQ7SxD1aNhDD9NdYC/S7rllUK9AYj0RpBgWPEwHCLgUHupUdxg8HAZWQA0yqI8QtfO/AAAAAASUVORK5CYII=)
. Так как
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADLSURBVDjLY2hsbGQgBzNQXSMQMGLDeDU2RBv7ABX9A+L/UBqKje/GlpdL4bWxPs/DUJaB4Y1xdIMPiN/RkcbjIcOwh0HGY09aRwcPTo0QW4E21NdLwsRy3GSLYWI4NUYZMyxkMI5aiOznKCOGRQyyHrtx2lhfHytpzMBw1ziy3hcWKEDbSkD+hDkdX+CgB8wdZGfjdiY0EIiOR5gzZd1yiklKANVZLkayDLI3PfLqDYnWCA85o6hFyKkEr0ZohL+GBwY02OmXyGmmEQDRskZeDvlPXAAAAABJRU5ErkJggg==)
неабелева, то
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAUCAYAAABroNZJAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAEQSURBVDjLY2hsbGSgFDMMTkNWMTAwMTAwMOPAjAQN6ehI4/GQZdwNVPwHiP8C9fyDssF849gGb4KG1NfHShobR9aB2NVZLkaysp4r0jo6eMBykZGGsfX1kiSFSY6bbImsW04xjJ+VlaVCcsBGGTMsxOd8goaUl8dKGTEY7cbnfIKG1Eca+zIYRy+gKJ2Q6hUMQ/B5BZROIOllFRNOQ0AJrTbS0I/BKGIRNoWgaJdjYHjJKOO+J628nBfDEFBCc5dl2AVPXLLuu2BpBIajPTySQGLRxgwLjKMbfCjKO/WRHnYexQ0GZBvyHxgu0dHRnmTnYlCYZbjJlhpG1voxMPxnJMsQYNTPh4WZrEdW0eAslAB8v+Cgd0wxmQAAAABJRU5ErkJggg==)
- неединичная подгруппа. Из того, что
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADoSURBVDjLY2hsbGQgBzNQVSMQMAIxEzaMV2NDrLE3UNFfIP4PpcGYkcH4bmh5uTRep9bneRjKMjC8MY5t8AbxOzrSeDxkGXYzyHjsSevo4MGtMdLYl4HB+E5sfb0kTCzHTbYEKHYXJIZTY5QRwyIG4+gFMD7QzYwRIDFZj904bSwvj5UyZmC4axhZ6wcNFOYssG0Mf2FOx+NMxn9IAfMH6MTbyM7G7Uyok4iOx/r6WEmQM2U98opISgDVWS5GcgxyNzyKGwyI1ggKCHDIGUUsYmBYxUSURmiEv4IHhqz7LpL8ODC5gxgMAKHGRmhcQLDfAAAAAElFTkSuQmCC)
- максимальная подгруппа в
![](data:image/png;base64,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)
, следует, что
![](data:image/png;base64,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)
- 3-максимальная подгруппа в
![](data:image/png;base64,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)
.
Ввиду леммы (II),
![](data:image/png;base64,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)
- максимальная подгруппа в
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAARCAYAAAA7bUf6AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAEQSURBVDjLY2hsbGSgFDPQ3BAgYELgVUxQMUaiDFkF1FSd5WIsy8DwCqjpLxD/YZD12J1WniblZuxWm9bRwYPXkLS0UD53GcY9DAyyrzyKGwxg4vV5HoZAQ18zGEcvwOuS8vI0XncZhj1gW9FsA+E8D9ki4+gGH7yG5LjJlgBd8BrZBci4IdbDFpscnNHRkcbjAXIFmnNBAYkawAxMOA2pr4+VNGZguCvrllOMaruxNzRw/wPN+8fAYHw7tr5ekpAhJeg2lZfHSoHksAUqpndkGXYzyLjvSSsv50VWVB9p7AsOq7x6Q4KJDRqNrxiMIhYhhQFzhBHDIlwxhjWdQL11GxoOMPzHOLbBe+DyztAzBABuy46neT8wNQAAAABJRU5ErkJggg==)
. Рассмотрим максимальную в
![](data:image/png;base64,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)
подгруппу
![](data:image/png;base64,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)
, такую что
![](data:image/png;base64,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)
. Тогда
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
- 2-максимальная подгруппа в
![](data:image/png;base64,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)
. По условию подгруппы
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
перестановочны. Если
![](data:image/png;base64,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)
, то используя лемму (V), имеем
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASYAAAAUCAYAAAAgAZDIAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAaJSURBVHja7Vs9c9RGGF5TQ3oI6yqh9y2UofIo8gTKY9BprsGZK24YFeAZFR4ju3OR/ABSmVThL2DKNOEfMDn/AchfOIh2tavbW+23pLOO2eId22d9vM+7z/u5e+Ds7AwECRIkyJAkGCFIkCAhMAXZcsIAsIMl4A1yLYGJLQi/MH0skPge8Z02922aVL466/S6TjwmXPw1zyP4EsD4cnZ+ftNWHx8byZ7RJ4ds8PaBaxP+0RUvZc/riwPKh0wQeFP+/FIJ/Lw/Px6lcXwoWyBfOT+f3Yzvgver96wLSk8fKe+D4JJchyZvZNcUCXpc/v8r1j3Oir3r1pm3LSY7jLMXQ8DDS4rARRMTuprm+R0eO8OYxfAFjJ6/VBENf071XtbPK/G5ODG+9jRFjwBKLwxcWLquhyteLa7R5M+ug1Nn2BSB1cRLnY3Gef69LQfI+q3Z6qnRVo0Pjuf7IwjAZ54ItYEU5PCVopjeRih9RX7P4j0I47fMgEWS7E2L4rbufhI8JY6c59M7CIArcDd+32Ug7UJnkoEVdrwOPDIdeMITYtL3Eh7s3n/NY8T/lxEzz2e3SADnnILYDoBFef2RTUCScbEPDrngbYurHdcO/rLBxqqSkmtHNBHcMAUCEy+lNsrzW0YO4LiBbUWvtbWV1AHEqMkMEyfFw74cgkTrEhz7ez6f/2BctBKgzFknCP4OIfjIP28QOuMsq1j8LvH4tphVAoJv+YqsynZlFVE6AdYxjrOxLDujpHjcCLKSTE0cQBNgsa6UhwubTN9mPXzw+uLaFNdq2zWqLNL1INk95opUaqOFmKBEDiTMVjQoNWwlfK4MTMTonsbV9cI2jiFGZWM2SeKHUYROGIl4o6EoOoEAfjS1PJvUWdUWdImHYaLlt3P7JFYclERHpgDRrFRwmyNvOQkpBYxCcL4SSe9b7XWN1xfXprhG8HAVZlUFVRU4brnYSMaJl3IbNeZu9XU02FTBS2urBWuZtYGJkULMyrYGlPeizDH0LSB+9wiMLl3IiOddWbb/EwSjD+w+ki3K0tc2e21S54o0K137wMNaH5FkFSn1RFhlzlXpT+coxrlZZQv4AZOwnsEpZmW65Hc6Rb/ggIozL9bBte1x5ZAL3ja4OK4tfbmGAHpnNSbggiMfmFT6m3ipsNFStFGlI/wHBz7+XbKYMVFUUvLAVEXb/+SkJgb8qstkbTICA+9CwijKnvAOUVUKqEiK7EdsFJu2Z5M6k+sVxO0CDybDz7voD9X6yDKfjDAQwr9XDmQ3aOezLktwOuc2YWFOTAPUjn2QcZuBuuBti6s918zYaAKqh/d8YKpnY8JzdLx0sRGbQ3McWLThgDEw2SjftvrwaeOwcXiy4EVgRmHObay6NqizNjB1gAc/37TYWYR+1Tmea8UhDUyER/K2U9cKqdenaj9MzuvMIa+K1x9Xm4rJFhv14U94sIwrHH74XVVTTR1NCdOmUmsEJmorsW104UBj+CqblouDt653HlQEUWUTdmyhdogoOnkQZ4c18J53r3x01hGgCzy6oLM2r1IQ3KfiUAemsp0UBqGszZRtrNgQ3rQz57UeDniNuHr0D1VwkGGjfvyvbPgt40fNS0lb5WIjJw7YdDMNRXCPTUvoaocEb/mtT+W7krpnlZwBqQd5glPiuctoNDll1/O7JHW52sOZkjY663r5rvDYBCbVzio7tyYSyS1Qr6o6tp08ns2+w9naZtvft92p10Myz2AVhOh4PF4Xnvjias01B2z8vVzFtGOcfQrzR1cbsRkTz4Gdpq0+AZRcyJ7XOLipnOzz0dZx29YpEyreUVYRz/DfZBuSZnkWOPnyN0XoFdnaFfUeiM6NUpdz/rWDZ2o8Sxs8Wfzg0Ccwie9xaYfWMiF3xqZhJ8v2jc4zrdudxgFEi/WoHdoDry+ullxbunKt0TpquCPjpY+NNBwwzu/wtQcQvOMH4r20Op2WsnT+MnQ9bXTWlc3bKnVmFch7PB/fG8+P78m+4rDNHBoSrq6wkd1Qwy6ZiQOyANnGVoMnfZqmB9vmqDqdSVVQZv9v4YuhLCiJc6O1SrBqQ2+wg5P3d+PXfZ9e74tDQ8LVNTZfXrKgpOfAU2dbDZr0uEd2nQNsg85kB81xCDxEId+TEnCQNgClv8lbM7+Dk0Pg0JBw9eUfuHJy5aUXBwzn6QYdmPit/G1xYr6v/xYCz7bL2nr0/PWkgK3jwBsIHCRIkBCYggQJEsQg/wP9XP5zgottTAAAAABJRU5ErkJggg==)
Из того, что
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAUCAYAAAAjvwuMAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAMDSURBVFjD7Vg9TuNAFH6mhgOw5HV7gXj6rRAZxE+HhLHSbJEiQikgkgsETrrcAkK15Agk3XZcgXCBLFcA4ZnM2GN7xh4bFLZI8SQnsWfe971vvvccGA6HsI7qsSZhTdw3EjcB2ABzOEULpZ+dbJRuHK2nW9OUQ9lzdvuZ86qKPb4YjTqbFGEa3fQm4l25fiP+4LAosTMCt8tnnHfA1mNnNNosAnG+h5dIexe6dZzM3g6Q+UkQ7LDfexQvcO/8sgp5DHzokSMgZ7e63+tgjy/CsL1NiH/Drq+6uy7i/h8JPvS8ZjsMt4sSYxGR0Qf39D6rEh1pJhCCvLGarE/gDhp0JvNh5NqQx3LgWAAWRfvVwa5diKshSkx+7na7P02bBsHJDgFnnlTKEdXCf7vdK5JLklfevzOtt6w+PtBe2JTfDXxyCEBeVACMTOKFRybClnnBc5n662K3qrgpRDVfJRFCSWN5pBzA14g8N0VKA2ZFa4c92kSkDxKsUGgfkE5VArL3pdQD8BIRPS86JbZqt+6qbGMX3KnNppwoRQkqcZIk+TkGC+5T0drCi8byuF97zWPuM+3BQT5PfFKVydXZJgf8/kiNNk2tLnaoepTUYKrixAXBjyxxQdDZanHikrX4kVO8ylRxRPybmDMusuTYqFc0q5hAK+IqYK8t1URBsIg8oZ9tDvw6A7qMuCoVtzn2CYG4YJZRNiZVwV4pcd2MJjzlWdMcckopJa5CxW2Jk/e2EB7LOqsOe+kcN5F+whWTr4xUl9NozTpBsKUbIBPF6Stb5HEswVMX7pve9bGNL5k8TgzIhkFWn5cJuxDFXO2yKeLiikhf0bRwn9Lf7Ds+BmiqLD3F9Lw6aGbHCFmUeODMNAJjR1fmrbTvJsNrKjSKK8POTomRuCoRevSXzqxtg3c9NlpoVGsbTCHcjywI/mx8CXHsGPi+v//ZZLgqIi+r+87JO6/mde2/JE56mK0H2SivDnj+rroi0mTDYlNDbeJUD1tl4t8ZycSQnxDW/62t/8hcbXwAORF1rkaAR64AAAAASUVORK5CYII=)
получаем, что порядок
![](data:image/png;base64,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)
делит
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAUCAYAAAAk/dWZAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAIMSURBVFjD7Ze/TsJAHMd/hRXdUc7JhFV6PoKhRwS3JlTC2qEhDGLSQbGwMfgCTiKT4RGAFzHIC8ArCLFXip7HHZaDQdQml5Te9Xv9/O73D2g2m7DrY+cBfh+Ef2miBV2AGMiHJhVm5latY9d81e7Gomh/QLRadiKLs3W71Uqwk/Q5QdD3X5qGY8bcT3G5cS7ahNWTafOG8ixcYLVBL3ZE8CK9lRCeV05iXLqj9zfOmY5Q7nmxxrOsTNnzkptCuLa5b6S0AaBc70Ob7gvwirKV640h2FHJopovWlv8dhznWLY2KgS1dFGHDiDS5+fpfpAiA5F3KENcYniSuY8qxNyF0ITUGiciowHgEX/ayhCuWz7QQe/L3EcFIoi3FAwAl9oyo4lOSBkisJhkM1WI0O9HuNTILxvN3jN8QESqV1uLiXVcKTJElWQQoBdS9TJ8nNStzEXgZtycMoTMlVbViegQMMGWV2AB/CyIEWgT0SkoQdD8HVglyNmfxYdJgbVNAtvC0NZSxsC07X0fID4HgDHgy8cop/wtBH1mIOiFxecNkNFj5xslnN8UYrmYorEoU20txfJjGxDUfVzHTJuOm+bbDOquPx6CAjCtxixsM2icxV3XPDw9Ig+y05NCEExu14GgHyBqC3g9mXYQ2Ni6D6o/QVdM3/TmF7nhqpaG11NqfcPAHkbx4f//E38J4h0ExmmnH6rOhwAAAABJRU5ErkJggg==)
. Поскольку
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAUCAYAAAATMxqtAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAM5SURBVFjD7VjNbhoxEJ6Fa9pcmwbn1EOOYd1rb9HiKD9SDitlQdyqVbWKOIRUe0jpbm5IfYHe8nNqeQSgD9JQHiBNHyFtahsMjrveP4hEJZCMgLXHnm/m+2YMnJ+fw3LMbyxBWAL6nwBKX4ZuUgegQJ8XNUO7Tn4WN0+e89h2p5A0P7WjKedG+Gro1kb9zt/abXfFwlbLbbdX1AnsGUFGjy6+p+M3tfFn/Jl/x/VwN2oz2WacfdmRwMH7ku37gnl0DfBgJNlPAinNXBFMBxeupmfYuN32zrBjWW/VtTqbiRsGQX0NY+cj+3zmbZsI7XwR8wLHKdeDYG1WQH3Xfl4pGX1Ale7ENtsX4Aeyjk/zgvTAQeoU0sylvmEExh3g6oW8xw6CLuDaZdr9M0X72EKn1MGm+O553qs0WRFnn2XGkQnXgHa66nO6XxNKpK9jjs6moC1fTwFK8i/w7XUTjCEi3on6LGySLVIP3zwJoFUMVzqK5wV0RHN0R5rhVlQAAfAwigVRNu2x7tUwXDLKCoCS/KvygJJeGvmYG6C+X39pgtnTUTwPoFyfS9CPopQIoM5R2SbLSJ9mGZWIAQNSDXqipAEMZeZN5UIUJrs4d0B5JmkczwuocAbXwr1/A+g+s0rwDZHGSZz9Rth4UWE6B3hg+/56VBGLBbRBygjgl3oGj6CTaRHGAzWRZgY0C91TA8qdQd9JIyirutpyygc6KYg6MwuOCXDDMk1tufIAyvWzhvfSMCQzoDq6jzQrua3R2WeCT525w06wL4MpKm5UkUhyaJxZ96zI2a67mlTlxywZIOvde7Wv5EU4gSGZAWX6xLOF94TTqE8P8lh7shYlmvkXRqnSHzkPxRGY8FNuX/K0TSxYGwC3aap8WMe7jN5lp3UgdNN17dUKQl9V9swEKPt9pE/jRlfqEwUlZgV00utJzbSO5k/Z2E8CIF0sVH/n3jZFacysgDKaNd3DzUO3ualeNeOunvMGNOtYSEAZmOK6abCKymVlRDnWBr3eIJ+zZsjCAEow+ZB1Q6at7GoY9SeBbFNnnxclXP30qJhMhnkT1/NmOXNe//LYzG1QtClpNW/5f+hyLAFdhPEXuYNMnP0D0MkAAAAASUVORK5CYII=)
, то полученное противоречие показывает, что
![](data:image/png;base64,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)
- собственная подгруппа группы
![](data:image/png;base64,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)
. Следовательно,
![](data:image/png;base64,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)
нильпотентна, и поэтому
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAAUCAYAAAB8roTFAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAUzSURBVGje7Vk/bxNJFH+btPypIR7TXEGJd6ipkL0RfyQKn7AtNwitTivkIs5pC46z00VCuvqoSKgOPkKSq2g4vsFB8gFC+Ag5wryZ3fV4PLOemcREp2zxpLW1u/Pe7/3e34WNjQ2opJIfLRUIlVTEq2QDTgACgHdLF4p47wCWAGDZIIH3IZZgTp9/Eojn3M8VzjsJ9HrINk3rZHrurESPb3tZvudZk6wDiXbjzc1Lizt7vi90WNjob4thcbG5GV+KSLDLXnbM5D/2/Lfsmv+m/fE9P8LB8qhDHwDtvi67L47bV6Xzj0nz2fBFp/GQ9sb3XUmXNG+skyhZU0HjekxsOl4KH7+RQUoisnajmawvinxdCq8ZIN8EvkKHAML9dpquFD6owZ4P1pZnC7+S1k4ZsTMMhyqGZv1HK64YFhejUf8apZ3f8fp5cjckZPWvXLlRp9Poj0bXXAxtM8Kx99A6wOE80uF9BIIj2dABMwCAHEWDUcOF6Eg69bw0bl9p1YI9GXBuL8A+I/i6Cq4ADhZFvm05mHoUtqAW7aFenHj1269csbbxBSaAX5rkV+DBZq5iGYZDk8/K9HfBUPsnpnvMOAWLk+QnFyPTtL3CnPp5XmQVJFdINyEG3XFxgsisvS0VyMchvAGyOqMLs3OogpaDSTujB2dNOlFVyFs5mMY9eh+AHqCdaHMUDdpn1kcx29EXIQT7IjtNKlnAgvpu8pyq5NBhaKH/vuqneRiao9Ij3adp/3oIcMAU+WxLmC4nxWxPw42k0W+2vY6pTInyyjLncHxLF2C506eeGUQNQqK3urPL++Dy3kl9LzqdZyGLns7n3Cyov+bZiwca7W7nJTEjXzgPQx/9i3vT9LIV8QR5wl2fdD/u03sYTch0m4EkK3cHcnb1FW4ohB9lvXMgTRGMAaYFjekVAvmoK/NYRuQ+cUpKWopJNulu54TBHta2f/Y5lxNNCiyZeBNsxG8Thhb6H+v0L8NQS7yyVOvSyNoQUBgKX10HCC3pMeUrZTMntu79aRpfbtbgbxIN1ozZU/PcaTIeEp0Q8n5CmvqhbQ/rc67ok8ODfppenyEes7+lBKUOQ1/9yzDUEs+3zJoJWD8UvcQsOIJ45F853cv9yamJl71fBQffLaJVX4LLQPPNeKepJL7njofRLRzuiGj0p4aLhLcZ5MtMv2Ygnqv+TsQre/lkB+a23EQFWgR2dODIk6VMNBznB83mzy5O0oGGwLOMeiQ3uaYp2gU0r1bgDCqJ17m85MEndbjQZasy4rnqb008TOU8C/CImCUXNqoYPUGttWdqGE9mFrTzy4HYDRUTFr8XS4KOFGVL0KI/ycrK1PuZzu04vgrZioeR8UtZdprXn/jsMnGybnRePFzUmsamVE8ynt4XOgx99RdJhfyTYyh8Nzl3OivlqVuzBulF0RP8j4/JBhYnvKdwL0Pqc6ZMxHdG+fJSiUwx6sOuOsLj/6uybRjpmvI6Mw1Ke8xT9Z5ZucvPX8Ry2LlUG9ZcOgx99ZcxLPglnetRMqI78xy3KBk06VPMjLibul2P/lTBw6k6YFNqO06vyBE7jB/dfBQPb6qRrot8jMwOXdo6L4Kct+gw9Mmu8zB0eiGW0l6vt3oegIi9Hn3J6uQHNql9MvV/PHuyXiT/1pt/JuP9jbS115EX7UPATBn3oojAsLPl8+nQFkPnHkHU+cV9SC9J3ZSE3T9soxYN58MF7b7UtwGz5MV7LjrpVAx9SGvznFeP8KOdU0xmFp/gKvl/SAVCJRXxKrk48h0uZD87n0dFYQAAAABJRU5ErkJggg==)
Значит, либо
![](data:image/png;base64,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)
- максимальная подгруппа в
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADjSURBVDjLY2hsbGQgBzNQVSMQMAIxEzaMV2NDrLE3UNFfIP4PpcGYkcH4bmh5uTRep9bneRjKMjC8MY5u8AHxOzrSeDxkGXYzyHjsSevo4MGtMdLYl4HB+E5sfb0kTCzHTbYYKHYXJIZTY5QRwyIG4+gFyP6OAInJeuzGaWN9faykMQPDXcPIWj9YoABtKwH50zi2wRunHyHOZPyHHDBAJ95GdjZuZ0KdRHQ8wpwp65FXRFICqM5yMZJjkLvhkVdvSLRGUCCAQ84oYhEDwyomojRCI/wVPDBk3XeR5MeByR3EYABzX0V00l1HGwAAAABJRU5ErkJggg==)
, либо
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAUCAYAAAAk/dWZAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAG9SURBVFjD7Vc7bsJAEB1TkwOgMKlyAXtTp4pgUQgdEmZFk8KFhVyESC4istD5Cqn4VIEjAF2ukVyAOxDFa2LHGAjGNghLWBppvVrvzpt5b2YN3W4X0m6pB5BKEPYjAYwzW0GMATKw3aRDO7jtfP+aZgGfAelUs6zsGgjL0rIUYWp/tPi1b994QVinfGgQdQI9KXCuBOSzapqXno95mAV98QacN3KEsFcxftHvFMTSu4uWq6rc4Dx3DLrYQAZ+JxmBPuTpTPjigLi6eQv6snEjO2UtLDRb7ruu69fHALBkA46owWV3rsNIGYB8CcdFoCk1qqGEHYxGErxe2qogg8YNKiPSkcsAocNNGtgJQqBVQJlGpY/gtZ/TK0bqvX9BqOTBXjNwQbdVueLosdG536vELjdi/aQrTJhMCAYg4scfcJz7qRUaRBwqxclEHAbstVGYaEa1OAxYoYHDQaU23OSoIzqAuZQvzjTTvEi4C2dqCgxltV2J0lS90lZEmHhpx+IkWA0YpY9iTtTtJBufGxyvqe4QcSJ3J67S2zBiO9kLoEg1Y6yU2lus0IxoPFF5exIg/KUTqfF0/p84g1i3H0/qaWWuxHeMAAAAAElFTkSuQmCC)
. В первом случае получаем, что
![](data:image/png;base64,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)
является единственной максимальной подгруппой в
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADQSURBVDjLY2hsbGQgBzNQXSMQMGLDeDU2RBv7ABX9A+L/UBqKje/GlpdL4bWxPs/DUJaB4Y1xdIMPiN/RkcbjIcOwh0HGY09aRwcPbo2Rxr5gG+rrJWFiOW6yxTAxnBqjjBkWMhhHL0D2c5QRwyIGWY/dOG2sr4+VNGZguGscWe8LDRQmoG0lIH/CnI7HmSgB8xfoxDvIzsbtTKiTiI5HmDNl3XKKSUoA1VkuRrIMsjc98uoNidYIDznjqIXIqQSvRmiEv4YHBql+HLjcQQgDAMgkRllhLRm8AAAAAElFTkSuQmCC)
. Это означает, что
![](data:image/png;base64,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)
- циклическая подгруппа, что противоречит выбору группы
![](data:image/png;base64,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)
. Следовательно, первый случай невозможен. Итак,
![](data:image/png;base64,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)
. Ввиду произвольного выбора
![](data:image/png;base64,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)
получаем, что
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAARCAYAAAA7bUf6AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAD+SURBVDjLY2hsbGSgFDPQzBAgYARiJmwYWR6vIQ2xxt5ARX+B+D8Q/4Oygdj4bmx5uVSOm2wJmF1fL4nXO/V5HoayDAxvjKMbfED8jo40Hg9Zht0MsraHbWUZDjMYRy8gGCb1kca+yLaBMNAFxQwMOo+MZBlOwQzHa0iUMcNCFNuA4RBlxLCIQdb4pI6s57y0jg4evIbU18dKGjMw3DWOrPeFBSgkHBj+msbGJnt45IUSjB2IV5ADFByot5G9RtAQsFdkPXYjO5mkdALziqxHXhHZia06ywUY+LI3PfLqDckyBBSA4BgwiloEig2SDYEmrlfwgKQkTAZXLiYVAwA784xY0kTHmAAAAABJRU5ErkJggg==)
- единственная
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADWSURBVDjLY2hsbGQgBzNQVWMoAwMzAwIzEqWxvDxU2piB4TZQwx9GBoa/hpG1ftg0o2lK4/WQM5kZW18vCeJnecgWATX/M46s98WrsSHWw9ajuMEAxu/oSOPxkGHYw2ActZDkwIkyZljIYBy9gCSNEBsZ9xjHNniTpLE6y8VIVtZzRVpHBw/RGv8DQzLaWLYH2c8ENYKCP8dNthjmRBAfPUqwaqqNNPSTdcsohSUCoJONPSLr7XBq/A/VBFT8HxUb34HFLVaNoAgHpRgMbBw1n7aJnKYaAWhxSSj6nIQtAAAAAElFTkSuQmCC)
-максимальная подгруппа в группе
![](data:image/png;base64,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)
. Из теоремы следует, что
![](data:image/png;base64,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)
- либо циклическая группа, либо группа кватернионов порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADbSURBVDjLY2hsbGQgBTNQrAEImGCYoIbqLBcjWQaG10DFfxkYZF+7ZFUb4dTQ0ZHG4yHDsEfWI68IxM9xky1mkPHYk9bRwYNVQ319rKQRg+wpmKn1kca+DAzGd2Lr6yVxOinamGEBo4z7ntC0ND4Q2zi2wRuvH2DOAvrhn2FkrR9BT6elhfJ5mJh0GcsynGCEeNoYv6dlZVd65NUbwpwH9MNdnH6oz/MwlGWQvQn3NDQQYAZgDSVjBobbsm45JaBIq4009APacBtvKEFsYXgFjbhX6KZTJy0NvAYAG4gf/1eYv+QAAAAASUVORK5CYII=)
. Так как первый случай очевидно невозможен, то
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADvSURBVDjLY2hsbGQgBzNQVSMQMAIxMyYOZcarsSHW2Buo8C8Q/4fSf0CYkcHobmh5uTRep9bneRjKMjC+MY5t8AbxOzrSeDxkGXYzyHjsSevo4MGtMdLYl4HB+E5sfb0kTCzHTbYEKHYXJIZTY5QRwyIG4+gFMD7QzYwRIDFZj904bSwvj5UyYmC4axhZ6wcLmCywbQx/YE7H40zGf7BAgWCjW8jOxu1MqJOIjsf6+lhJY6AzZT3yikhKANVZLkZyDHI3PIobDIjSCEst4JAziljEwLCKiSiNDcUeBnIMDC/hgSHrvoskPw5M7iAGAwAXgkU/4D5+5wAAAABJRU5ErkJggg==)
- группа кватернионов порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADbSURBVDjLY2hsbGQgBTNQrAEImGCYoIbqLBcjWQaG10DFfxkYZF+7ZFUb4dTQ0ZHG4yHDsEfWI68IxM9xky1mkPHYk9bRwYNVQ319rKQRg+wpmKn1kca+DAzGd2Lr6yVxOinamGEBo4z7ntC0ND4Q2zi2wRuvH2DOAvrhn2FkrR9BT6elhfJ5mJh0GcsynGCEeNoYv6dlZVd65NUbwpwH9MNdnH6oz/MwlGWQvQn3NDQQYAZgDSVjBobbsm45JaBIq4009APacBtvKEFsYXgFjbhX6KZTJy0NvAYAG4gf/1eYv+QAAAAASUVORK5CYII=)
. Поскольку подгруппа
![](data:image/png;base64,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)
изоморфна погруппе группы автоморфизмов
![](data:image/png;base64,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)
, то
![](data:image/png;base64,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)
. Полученное противоречие с выбором группы
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAARCAYAAAA7bUf6AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAD5SURBVDjLY2hsbGSgFDPQ3BAgYELCjFAxRqIMASmsznIxkmVgeA1k/wVjWY/daeVpUm7GbrVpHR08eA0pL0/j9ZBh2MPAIPvKI6/eECZen+dhCDbUOHoBXpfADQDZimYbCOe4yRYbRzf44DUEqKgE6ILXyC5AxvWRHnbY5OCMjo40HrArjKMWoocPWgAz4TSkvj5W0piB4a6sW04xsoKGWGNvaOD+B+J/DAzGt2Pr6yUJGVKC4Q2oHLZAxfSOLMNuBhmPPWnl5byoYWHsCwyrN7jCCtVGSDS+AoULchhEGTEswhVjWNMJ1Om34YkMio1jG7wHLu8MPUMA9sSNgymq2SEAAAAASUVORK5CYII=)
доказывает, что либо
![](data:image/png;base64,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)
- группа Миллера-Морена, либо
![](data:image/png;base64,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)
, где
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADhSURBVDjLY2hsbGQgBzNQVSMQMAIxEzaMV2NDrLE3UNFfIP4PxP+gbCA2vhtbXi6F16n1eR6GsgwMb4yjG3xA/I6ONB4PWYbdDDIee9I6Onhwa4w09gXacCe2vl4SJpbjJlsMthUohlNjlDHDQgbj6AXI/o4yYljEIOuxG6eN9fWxksYMDHeNI+t9YYECtK0E5E/j2AZvnH6EOBM5UMABcxvZ2bidCXUS0fEIc6asR14RSQmgOsvFSI5B7oZHXr0h0RpBgQAOOaOoRaBQJEojNMJfwQND1nMXSX4cmNxBDAYA6jhE2jWpHIIAAAAASUVORK5CYII=)
- группа кватернионов порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADbSURBVDjLY2hsbGQgBTNQrAEImGCYoIbqLBcjWQaG10DFfxkYZF+7ZFUb4dTQ0ZHG4yHDsEfWI68IxM9xky1mkPHYk9bRwYNVQ319rKQRg+wpmKn1kca+DAzGd2Lr6yVxOinamGEBo4z7ntC0ND4Q2zi2wRuvH2DOAvrhn2FkrR9BT6elhfJ5mJh0GcsynGCEeNoYv6dlZVd65NUbwpwH9MNdnH6oz/MwlGWQvQn3NDQQYAZgDSVjBobbsm45JaBIq4009APacBtvKEFsYXgFjbhX6KZTJy0NvAYAG4gf/1eYv+QAAAAASUVORK5CYII=)
и
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAUCAYAAAC9BQwsAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFDSURBVDjLzZPNSsNAFIXPxK3iupDrM7QdH8BFiQMFdwETyTaEUAIaShZF0uwKPkSty76Bfy9S6wOoeYTWOtMazJ9FXHXgbmbyzT1zzg2SJMF/CrsFmsAeCjXVtoJTQHNd8/CU2IMEFqoYsCTD6wMrVgsqyDOorz7mTtzN9mOHdyX82bKuzyqgXMxfQ/QuwmGzfKnNMYEuntzRaL9wMPA7nMBSEv5V3RN+Be027gA+d+K4UYaiyD0QOp5B4rEAxrHT4MAr+MVtXbeymh8wEC0CUjJ6YZ1h5xs1L5macsc5Gb5ylFVdZsu8y4Wbe4IuGeij40bHWegW1yblaGpzlM6Ns9DXxe3xn0YukhNjWd7Jd0eWz7h25FbyIAhMXb5ztulGaV7ywBecuH1TAdVIAe2Zcm0YiuYR8FaQTOJe5bej/+O2+gKbwHWLcEmVlgAAAABJRU5ErkJggg==)
- группа порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAC1SURBVDjLY2hsbGQgBTNQrAEImCB4FRNBDdVZLkayDAyvgBr+MhhFLALSjDg11NfHSprIecxM6+jgAbGNGRjuGEc3+ODU0JCXJwFSDHUWY6Qx00Lj2AZvgn5YBXR/baShH4Nx1EKiPB1lzDCfKD8g4/o8D0Og51/LuuWUEB0POW6yxQwyHntg/iKooT7S2JfBOHoBThtA7oVFWlpaKJ+HLMNuvKHUEGvsDfYsFGNTTJ20NPAaALTdHSycNUjLAAAAAElFTkSuQmCC)
.
Достаточность очевидна. Лемма доказана.
. В ненильпотентной группе
каждая
-максимальная подгруппа группы
перестановочна со всеми
-максимальными подгруппами группы
тогда и только тогда, когда группа
имеет вид: (1)
![](data:image/png;base64,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)
- группа Миллера-Морена;
(2)
![](data:image/png;base64,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)
- группа Шмидта, где
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADjSURBVDjLY2hsbGQgBzNQVSMQMAIxEzaMV2NDrLE3UNFfIP4PpcGYkcH4bmh5uTRep9bneRjKMjC8MY5u8AHxOzrSeDxkGXYzyHjsSevo4MGtMdLYl4HB+E5sfb0kTCzHTbYYKHYXJIZTY5QRwyIG4+gFyP6OAInJeuzGaWN9faykMQPDXcPIWj9YoABtKwH50zi2wRunHyHOZPyHHDBAJ95GdjZuZ0KdRHQ8wpwp65FXRFICqM5yMZJjkLvhkVdvSLRGUCCAQ84oYhEDwyomojRCI/wVPDBk3XeR5MeByR3EYABzX0V00l1HGwAAAABJRU5ErkJggg==)
- группа кватернионов порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADhSURBVDjLY2hsbGQgBTNQrAEImGCYoIbqLBcjWQaG10DFfxkYZF+7ZFUb4dTQ0ZHG4yHDsEfWI68IxM9xky1mkPHYk9bRwYNVQ319rKQRg+wpmKn1kca+DAzGt2Pr6yVxOinSmGEBo4z7ntC0NL5oINs4tsEbrx9gzgL64Z9hZK0fQU+npYXyeZiYdBnLMpxghHjaGL+nZWVXeuTVG4L4ICcB/XAXpx/q8zwMZRlkb8I8XV4eKwUKBJgBWEPJmIHhtqxbVgnQD8y1kYZ+BEMJYgvDK2jEvfIobjCgfloaeA0ABb8f8TeSLBkAAAAASUVORK5CYII=)
и
![](data:image/png;base64,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)
- группа порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAARCAYAAADpPU2iAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAC1SURBVDjLY2hsbGQgBTNQrAEImCB4FRNBDdVZLkayDAyvgBr+MhhFLALSjDg11NfHSprIecxM6+jgAbGNGRjuGEc3+ODU0JCXJwFSDHUWY6Qx00Lj2AZvgn5YBXR/baShH4Nx1EKiPB1lzDCfKD8g4/o8D0Og51/LuuWUEB0POW6yxQwyHntg/iKooT7S2JfBOHoBThtA7oVFWlpaKJ+HLMNuvKHUEGvsDfYsFGNTTJ20NPAaALTdHSycNUjLAAAAAElFTkSuQmCC)
;
(3)
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
,
где
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADvSURBVDjLY2hsbGQgBzNQVSMQMAIxMyYOZcarsSHW2Buo8C8Q/4fSf0CYkcHobmh5uTRep9bneRjKMjC+MY5t8AbxOzrSeDxkGXYzyHjsSevo4MGtMdLYl4HB+E5sfb0kTCzHTbYEKHYXJIZTY5QRwyIG4+gFMD7QzYwRIDFZj904bSwvj5UyYmC4axhZ6wcLmCywbQx/YE7H40zGf7BAgWCjW8jOxu1MqJOIjsf6+lhJY6AzZT3yikhKANVZLkZyDHI3PIobDIjSCEst4JAziljEwLCKiSiNDcUeBnIMDC/hgSHrvoskPw5M7iAGAwAXgkU/4D5+5wAAAABJRU5ErkJggg==)
- группа простого порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADvSURBVDjLY2hsbGQgBzNQVSMQMEEx4yoEmwmvxvo8D0NZBoZXQIX/jCPrfaONGRYA2X8ZGYzvxpaXS+G1sb4+VtKIQfaUnBzDdePYBu+OjjQeDxmGPbJuOcX4NUYa+zLIGp+MzKtXBfHhGj3yivBqjDJmWGgc3eAD41dnuRjJMcjd8MirN8TtR7AzjXbH1tdLgvigwIkwYljEYBy9AG/ggEyXlfVYFZqWxgcKyUhjpoUMDMa3YQbh1JjjJlsCCkU4No6aTzAewYEgK7sS2S8EEwDIL0BnGsOcSbRGYEjOhztP1n1XWkcHD/3S6uDUCABDWk1QGfN+/AAAAABJRU5ErkJggg==)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAUCAYAAAC9BQwsAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFFSURBVDjLzZNNTsJQFIXPq1OiYyLXNSB3AU5IfQlxSGJrOm1IQxjwEwYM2s6auAjEIUsQ3YjgAowsAcH3hEr/JMYRg5smff3uPe+cW4RhiP8UjgucAgaAk31txEFwAwjXbZ5JwkwBq119ktkaqKcoBDXkmdTXH7ITNOL3gcMNAazZ8m9yoO7W/oboQ/aCarapzZigIp/dKCqlDkZevUYQS5KdbtEVfgXtGh4BXji+X85CUeSWZAUvIDlLgb7vlBl4A989FE3LqtmDHXlJwJLMdq/IsNutmnmsJjtxocB+bHmcZcukQdblVGdPUlcoR+veiOPQLTYmOsckVJijcm6su/8Ez/b4TyunNubUsryr3USRzBiYGjlQHwyHzXOlcb6dSMukZOUqE9v3OVCvFFB71a4FPVm9AN4Te7oCXT/p/I70fzxUXwicdXCtwx7SAAAAAElFTkSuQmCC)
- нециклическая
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADtSURBVDjLY2hsbGQgBzNQXSMQMEEx4yooTVBjeXmotDEDwx2g4r+ybjnFEUYMi4yjG3zwaqzOcjGSZWB8LeuRVwTi57jJFjMwGN+Jra+XxKmxvDyN112GYQ+DcfQCmFh9pLEvMh+rRrAiJNNhBqE7E0NjlDHDQgbjqIXQwGEEOrOEgUH2tUdevSFejdHGDAsYjCIWgUITZLusiclyWVnPFWkdHTz4nZrnYSjLwPAKFJoMxpELQDbCAonoeOzoSOPxkJVdic2ZODWCnAqKSyMGoz2x5eVSRGmsr4+VBEb+bbBzwU6Omk+ftDr4NAIA8sFOPQSqDIcAAAAASUVORK5CYII=)
-группа и все ее максимальные подгруппы, отличные от
![](data:image/png;base64,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)
, цикличны;
(4)
![](data:image/png;base64,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)
,
где
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEgAAAAXCAYAAACoNQllAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAALUSURBVFjD7VhNTttAFH4hWwprqB9nIJ4rIDMR0F0kEsubVrJQhLJIgrxAlZNdJA7BzwpxhCQcAG5Q0R6AliO0pfPsOBkbT+JJggSVF29jZ977vu/9zIuh2+1CbmrLRcgFygWakAEoANys6Jy5AVihc1oCjQ4VU6zwesTicSLT8eFX2QGw2rkOlxrDs536KVPFSg1WY3Au0P0VZ4TBb7IC4C9ytGxxiMDXaulTFIeMVf0Desbszr6WOLjbd3u9VR0uvZ67WkboU8w0kZRBheNLQD6IAtoMLsDgt0kAi5jnVtZ2jcIQgD04vr8hkwJBgjf8UhY/p/UdE7F8rcI2i4vvOxsM8E6IZmYSiFTlBgyRN5rRs47N9gXopyToKSVcnDYPep77wTLgFrD8IushYNaXRZtmJABzOnuLcAmesdplJoGCjAB+ixxQ6R1ZeCIy/T0JOsz2pD1ilpgHsh1b2A6qpNXZTiXF7c+ZqtBzNk0wByoxs3LxG7yEYN47nrc5U6AAvGHdVlx3nSphNCP+IK83l9FaUVaB2ReL+goyb/Chqr2ycokwJeeeGrxwMqmGrce0TM/bYmELwQ+0jluLCiQEaKkE0uEybsUEppklmaH/tVssLGd4EmDaqltJvQY8x67/aQLpcMksUFCS0sR/DRtV0AOYh1dEOFmRNudfovjPQgx5DSAC8vuOw/ZUAulwGbdYYtjHsuS6lXW6WdA6OkkCX7YFxGgWWPV2VB0UP9hJJJDhMJ+sAXWOTXl+kNgm4L1cJfNwUQ37JOBxeyxrIE8VqcW3twAeVfNBBh1vs0pR9kN7DS16i3AJt/CXl8ab/m8l7yYkpphbP8ONOL5Yhu/YXcXzPs67sJYRr9OG97sRaJxlxUwJqkYsnRXXW9MVhyMMVIvm2xYoqoxGw6DWOjThSt6IU3/Pamc6MegWVonzLj53xOeJeh/LvwflH8xygXKB/kf7B2+OGoQN9AQhAAAAAElFTkSuQmCC)
- группа порядка
![](data:image/png;base64,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)
,
![](data:image/png;base64,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)
- группа простого порядка
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAARCAYAAADtyJ2fAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADySURBVDjLY2hsbGQgBzNQXSMQMEEx4yooTVBjeXmotDEDwx2g4j+ybjnFEUYMi4xjG7zxaqzOcjGSZWB8LeuRVQTi57jJFjMwGN+Jra+XxKmxvDyN112GYQ+DcfQCmFh9pLEvMh+rRrAiJNNhBhlHN/jg1RhlzLCQwThqITRwGIHOLGFgkH3tkVdviFdjtDHDAgajiEVATcwg22VNTJbLynquSOvo4MHv1DwPQ1kGhleg0GQwjlwAslHWI6+IpHjs6Ejj8ZCVXYnNmTg1giIeFJdGDEZ7YsvLpYjSWF8fKwmM/NtAzX8hTo6aT5+0Ovg0AgDmzU446eCPxgAAAABJRU5ErkJggg==)
, отличного от
![](data:image/png;base64,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)
;