Research Article
Involutions in the Automorphism Groups of Small Sporadic Simple Groups
| | | |
| | 240 | | | 45 | |
| | 720 | | | 240 | | | 180 | | | 30 | |
| | 1440 | | | 1440 | | | 1440 | | | 1152 | | | 360 | |
| | 10240 | |
| | 15360 | | | 7680 | | | 1024 | |
| | 3840 | | | 1440 | |
| | 11520 | | | 5760 | | | 5760 | | | 1440 | | | 1440 | | | 720 | | | 720 | |
| | 11520 | | | 11520 | | | 5760 | | | 5760 | | | 2880 | | | 1440 | | | 1440 | | | 720 | | | 720 | |
| | 23040 | | | 11520 | | | 5760 | | | 2880 | | | 2880 | |
| | 23040 | | | 23040 | | | 11520 | | | 11520 | | | 5760 | | | 5760 | | | 5760 | |
| | 23040 | | | 23040 | | | 11520 | | | 11520 | | | 5760 | | | 5760 | | | 5760 | | | 5760 | | | 5760 | | | 5760 | | | 2880 | | | 2880 | | | 1920 | | | 1920 | |
| | 46080 | | | 46080 | | | 23040 | | | 23040 | |
| | 73728 | |
| | 184320 | | | 122880 | |
| | 92160 | |
| | 122880 | |
| | 46080 | | | 46080 | | | 15360 | | | 15360 | |
| | 92160 | | | 23040 | | | 15360 | | | 15360 | |
| | 92160 | | | 92160 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 15360 | |
| | 92160 | | | 92160 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | |
| | 737280 | |
| | 92160 | | | 92160 | |
| | 92160 | | | 92160 | | | 46080 | | | 46080 | | | 23040 | | | 23040 | |
| | 92160 | | | 92160 | | | 92160 | | | 92160 | |
| | 92160 | | | 92160 | | | 92160 | | | 92160 | | | 92160 | |
| | 92160 | | | 92160 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 46080 | | | 23040 | | | 23040 | |
| | 184320 | | | 184320 | | | 92160 | | | 92160 | |
| | 737280 | | | 245760 | |
| | 368640 | |
| | 368640 | | | 368640 | |
| | 368640 | | | 368640 | |
| | 1474560 | |
| | 122880 | | | 122880 | |
| | 368640 | | | 184320 | |
| | 368640 | | | 184320 | |
| | 184320 | | | 184320 | | | 92160 | | | 92160 | |
| | 368640 | | | 368640 | |
| | 184320 | | | 184320 | | | 184320 | | | 184320 | | | 92160 | | | 92160 | |
| | 368640 | |
| | 184320 | | | 184320 | | | 184320 | | | 184320 | | | 184320 | | | 184320 | |
| | 737280 | |
| | 737280 | | | 737280 | |
| | 368640 | | | 368640 | | | 368640 | | | 368640 | |
| | 737280 | |
| | 737280 | | | 737280 | |
| | 737280 | | | 737280 | |
| | 737280 | | | 737280 | |
| | 737280 | | | 737280 | |
| | 737280 | | | 737280 | |
| | 737280 | | | 737280 | |
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