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Results (1-50 of 408 matches)

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Elements of the group are displayed as permutations of degree 21.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 11P 13P 17P 19P
$A_{21}$ 1A $1$ $1$ not computed 1A 1A 1A 1A 1A 1A 1A 1A $()$
$A_{21}$ 2A $2$ $17955$ not computed 1A 2A 2A 2A 2A 2A 2A 2A $(6,13)(9,17)$
$A_{21}$ 2B $2$ $21366450$ not computed 1A 2B 2B 2B 2B 2B 2B 2B $(3,8)(4,18)(6,9)(12,19)$
$A_{21}$ 2C $2$ $3055402350$ not computed 1A 2C 2C 2C 2C 2C 2C 2C $(1,4)(2,20)(3,6)(5,21)(7,19)(9,17)$
$A_{21}$ 2D $2$ $13749310575$ not computed 1A 2D 2D 2D 2D 2D 2D 2D $(1,14)(2,8)(4,6)(5,10)(7,9)(11,17)(12,18)(13,20)(15,16)(19,21)$
$A_{21}$ 2E $2$ $41247931725$ not computed 1A 2E 2E 2E 2E 2E 2E 2E $(4,19)(5,21)(7,11)(8,20)(9,18)(10,14)(12,17)(15,16)$
$A_{21}$ 3A $3$ $2660$ not computed 3A 1A 3A 3A 3A 3A 3A 3A $(11,15,16)$
$A_{21}$ 3B $3$ $2170560$ not computed 3B 1A 3B 3B 3B 3B 3B 3B $(2,4,13)(3,12,18)$
$A_{21}$ 3C $3$ $658403200$ not computed 3C 1A 3C 3C 3C 3C 3C 3C $(2,18,9)(6,10,19)(11,15,16)$
$A_{21}$ 3D $3$ $72424352000$ not computed 3D 1A 3D 3D 3D 3D 3D 3D $(2,10,19)(3,12,18)(4,13,9)(11,16,15)$
$A_{21}$ 3E $3$ $2433458227200$ not computed 3E 1A 3E 3E 3E 3E 3E 3E $(1,7,20)(2,4,19)(8,18,12)(10,14,13)(11,16,15)$
$A_{21}$ 3F $3$ $4635158528000$ not computed 3F 1A 3F 3F 3F 3F 3F 3F $(1,6,12)(2,10,18)(3,11,14)(4,5,15)(7,20,9)(8,16,17)(13,21,19)$
$A_{21}$ 3G $3$ $16223054848000$ not computed 3G 1A 3G 3G 3G 3G 3G 3G $(1,9,2)(3,20,8)(4,10,6)(5,17,14)(7,13,19)(11,15,18)$
$A_{21}$ 4A $4$ $4883760$ not computed 2A 4A 4A 4A 4A 4A 4A 4A $(6,17,13,9)(7,14)$
$A_{21}$ 4B $4$ $256397400$ not computed 2B 4B 4B 4B 4B 4B 4B 4B $(2,17,9,4)(3,18,13,6)$
$A_{21}$ 4C $4$ $6666332400$ not computed 2A 4C 4C 4C 4C 4C 4C 4C $(2,7)(3,8)(4,18)(6,19,9,12)$
$A_{21}$ 4D $4$ $549972423000$ not computed 2B 4D 4D 4D 4D 4D 4D 4D $(1,19,8,18)(3,11)(4,7,15,12)(13,14)$
$A_{21}$ 4E $4$ $659966907600$ not computed 2A 4E 4E 4E 4E 4E 4E 4E $(1,8)(2,3)(6,20,13,10)(7,12)(14,15)(16,19)$
$A_{21}$ 4F $4$ $3299834538000$ not computed 2A 4F 4F 4F 4F 4F 4F 4F $(1,19,8,6)(2,18)(3,4)(9,20)(10,14)(11,17)(12,13)(15,16)$
$A_{21}$ 4G $4$ $13199338152000$ not computed 2C 4G 4G 4G 4G 4G 4G 4G $(1,8,20,2)(3,17,9,6)(4,19,12,18)(10,13)$
$A_{21}$ 4H $4$ $34648262649000$ not computed 2B 4H 4H 4H 4H 4H 4H 4H $(1,7)(3,20)(4,9)(5,6,17,14)(8,21)(10,16,12,15)(11,18)(13,19)$
$A_{21}$ 4I $4$ $34648262649000$ not computed 2B 4I 4I 4I 4I 4I 4I 4I $(1,17)(2,21,7,19)(4,8)(6,13)(9,14,16,18)(12,20)$
$A_{21}$ 4J $4$ $69296525298000$ not computed 2E 4J 4J 4J 4J 4J 4J 4J $(1,8,7,13)(2,9,5,20)(3,19,14,11)(6,15,12,10)$
$A_{21}$ 4K $4$ $461976835320000$ not computed 2C 4K 4K 4K 4K 4K 4K 4K $(1,19,8,6)(2,18,13,12)(3,17,4,11)(5,21)(9,20)(15,16)$
$A_{21}$ 4L $4$ $1039447879470000$ not computed 2E 4L 4L 4L 4L 4L 4L 4L $(1,9,13,19)(2,12)(3,11,6,16)(5,14,10,21)(7,17)(8,20,18,15)$
$A_{21}$ 5A $5$ $488376$ not computed 5A 5A 1A 5A 5A 5A 5A 5A $(1,2,3,6,13)$
$A_{21}$ 5B $5$ $25598716416$ not computed 5B 5B 1A 5B 5B 5B 5B 5B $(1,11,19,6,15)(3,9,18,8,14)$
$A_{21}$ 5C $5$ $94612855873536$ not computed 5C 5C 1A 5C 5C 5C 5C 5C $(1,3,6,16,18)(2,21,19,4,17)(7,13,15,12,14)$
$A_{21}$ 5D $5$ $3406062811447296$ not computed 5D 5D 1A 5D 5D 5D 5D 5D $(1,11,15,9,8)(2,6,7,13,16)(3,4,10,14,17)(5,19,21,18,12)$
$A_{21}$ 6A $6$ $24418800$ not computed 3A 2A 6A 6A 6A 6A 6A 6A $(3,8)(4,12)(11,15,16)$
$A_{21}$ 6B $6$ $683726400$ not computed 3B 2B 6B 6B 6B 6B 6B 6B $(3,17)(4,15,5,19,14,9)$
$A_{21}$ 6C $6$ $8888443200$ not computed 3B 2A 6C 6C 6C 6C 6C 6C $(1,8)(2,13,4)(3,18,12)(6,19)$
$A_{21}$ 6D $6$ $12221609400$ not computed 3A 2B 6D 6D 6D 6D 6D 6D $(2,9)(3,13)(4,17)(6,18)(11,15,16)$
$A_{21}$ 6E $6$ $391091500800$ not computed 3C 2B 6E 6E 6E 6E 6E 6E $(1,20,8)(2,3,19,10,18,12)(15,16)$
$A_{21}$ 6F $6$ $488864376000$ not computed 3B 2C 6F 6F 6F 6F 6F 6F $(2,18,12,9,6,3)(4,20)(7,14)(11,16)$
$A_{21}$ 6G $6$ $513307594800$ not computed 3A 2C 6G 6G 6G 6G 6G 6G $(1,20)(2,8)(3,9)(4,12)(6,17)(11,16,15)(18,19)$
$A_{21}$ 6H $6$ $824958634500$ not computed 3A 2E 6H 6H 6H 6H 6H 6H $(1,17)(2,18)(3,12)(4,16)(5,21)(6,13,15)(7,20)(8,10)(9,11)$
$A_{21}$ 6I $6$ $977728752000$ not computed 3C 2A 6I 6I 6I 6I 6I 6I $(2,9,18)(3,8)(4,12)(6,19,10)(11,16,15)$
$A_{21}$ 6J $6$ $1466593128000$ not computed 3B 2B 6J 6J 6J 6J 6J 6J $(1,20)(2,6,11)(3,16)(12,14)(13,18)(15,21,17)$
$A_{21}$ 6K $6$ $1955457504000$ not computed 3D 2C 6K 6K 6K 6K 6K 6K $(2,15,14,6,9,21)(11,16,12,19,17,18)$
$A_{21}$ 6L $6$ $6844101264000$ not computed 3C 2C 6L 6L 6L 6L 6L 6L $(1,3)(2,20,10)(4,13,12)(5,21)(6,8)(7,16,17)(9,11)(14,15)(18,19)$
$A_{21}$ 6M $6$ $10266151896000$ not computed 3B 2C 6M 6M 6M 6M 6M 6M $(1,2,11)(3,12)(4,18,5)(7,13)(8,19)(9,17)(10,16)(14,15)$
$A_{21}$ 6N $6$ $13199338152000$ not computed 3B 2D 6N 6N 6N 6N 6N 6N $(1,14)(2,8)(4,18,9,6,12,7)(5,10)(11,17)(13,20)(15,16)(19,21)$
$A_{21}$ 6O $6$ $18479073412800$ not computed 3B 2E 6O 6O 6O 6O 6O 6O $(4,18,20,19,9,8)(5,21)(7,11)(10,14)(12,17)(15,16)$
$A_{21}$ 6P $6$ $27376405056000$ not computed 3D 2A 6P 6P 6P 6P 6P 6P $(1,20,8)(2,10,3)(6,13)(9,17)(11,16,15)(12,19,18)$
$A_{21}$ 6Q $6$ $34220506320000$ not computed 3C 2B 6Q 6Q 6Q 6Q 6Q 6Q $(1,13,19)(2,18)(3,11,10)(6,14)(7,9)(12,15)(16,17,21)$
$A_{21}$ 6R $6$ $46930980096000$ not computed 3D 2B 6R 6R 6R 6R 6R 6R $(1,4,6,21,19,10)(3,5)(9,18,16)(14,15,20)$
$A_{21}$ 6S $6$ $68441012640000$ not computed 3D 2B 6S 6S 6S 6S 6S 6S $(1,20,11)(3,18,7)(4,21,19)(5,17)(6,14)(8,13,9)(10,12)(15,16)$
$A_{21}$ 6T $6$ $82129215168000$ not computed 3C 2C 6T 6T 6T 6T 6T 6T $(1,10)(2,12,7,18,17,11)(4,13,8)(5,16)(9,15)$
$A_{21}$ 6U $6$ $109505620224000$ not computed 3E 2A 6U 6U 6U 6U 6U 6U $(1,20,17)(2,4,8)(3,7,18)(6,9)(10,14,13)(11,16,15)(12,19)$
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