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Results (1-50 of 376 matches)

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Elements of the group are displayed as permutations of degree 22.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 11P
$C_2^{10}.S_{11}$ 1A $1$ $1$ not computed 1A 1A 1A 1A 1A $()$
$C_2^{10}.S_{11}$ 2A $2$ $11$ not computed 1A 2A 2A 2A 2A $(1,2)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 2B $2$ $55$ not computed 1A 2B 2B 2B 2B $(19,20)(21,22)$
$C_2^{10}.S_{11}$ 2C $2$ $110$ not computed 1A 2C 2C 2C 2C $(1,2)(3,4)(5,6)(7,19)(8,20)(9,10)(11,12)(13,14)(15,16)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 2D $2$ $165$ not computed 1A 2D 2D 2D 2D $(3,4)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)$
$C_2^{10}.S_{11}$ 2E $2$ $330$ not computed 1A 2E 2E 2E 2E $(5,6)(17,18)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 2F $2$ $462$ not computed 1A 2F 2F 2F 2F $(7,8)(13,14)(15,16)(17,18)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 2G $2$ $990$ not computed 1A 2G 2G 2G 2G $(1,2)(7,19)(8,20)$
$C_2^{10}.S_{11}$ 2H $2$ $3960$ not computed 1A 2H 2H 2H 2H $(5,21)(6,22)(7,9)(8,10)$
$C_2^{10}.S_{11}$ 2I $2$ $3960$ not computed 1A 2I 2I 2I 2I $(1,2)(3,4)(5,6)(7,19)(8,20)(13,14)(15,16)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 2J $2$ $9240$ not computed 1A 2J 2J 2J 2J $(7,20)(8,19)(11,12)(15,16)(17,18)$
$C_2^{10}.S_{11}$ 2K $2$ $13860$ not computed 1A 2K 2K 2K 2K $(5,6)(7,8)(13,14)(15,17)(16,18)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 2L $2$ $27720$ not computed 1A 2L 2L 2L 2L $(1,2)(5,6)(7,9)(8,10)(11,12)(13,14)(15,19)(16,20)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 2M $2$ $55440$ not computed 1A 2M 2M 2M 2M $(1,2)(3,13)(4,14)(5,6)(7,15)(8,16)(9,19)(10,20)(11,12)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 2N $2$ $83160$ not computed 1A 2N 2N 2N 2N $(5,6)(9,10)(11,21)(12,22)(17,19)(18,20)$
$C_2^{10}.S_{11}$ 2O $2$ $138600$ not computed 1A 2O 2O 2O 2O $(5,21)(6,22)(7,9)(8,10)(13,14)(15,16)(17,18)(19,20)$
$C_2^{10}.S_{11}$ 2P $2$ $277200$ not computed 1A 2P 2P 2P 2P $(3,21)(4,22)(5,13)(6,14)(7,19)(8,20)(17,18)$
$C_2^{10}.S_{11}$ 2Q $2$ $277200$ not computed 1A 2Q 2Q 2Q 2Q $(1,8)(2,7)(5,16)(6,15)(11,20)(12,19)(17,21)(18,22)$
$C_2^{10}.S_{11}$ 2R $2$ $332640$ not computed 1A 2R 2R 2R 2R $(1,11)(2,12)(3,20)(4,19)(5,17)(6,18)(7,15)(8,16)(9,10)(13,21)(14,22)$
$C_2^{10}.S_{11}$ 2S $2$ $554400$ not computed 1A 2S 2S 2S 2S $(1,2)(3,13)(4,14)(7,15)(8,16)(9,19)(10,20)(11,12)(17,18)$
$C_2^{10}.S_{11}$ 2T $2$ $831600$ not computed 1A 2T 2T 2T 2T $(1,2)(3,4)(7,10)(8,9)(11,19)(12,20)(13,17)(14,18)(15,22)(16,21)$
$C_2^{10}.S_{11}$ 3A $3$ $1320$ not computed 3A 1A 3A 3A 3A $(5,19,8)(6,20,7)$
$C_2^{10}.S_{11}$ 3B $3$ $295680$ not computed 3B 1A 3B 3B 3B $(3,13,7)(4,14,8)(5,20,22)(6,19,21)$
$C_2^{10}.S_{11}$ 3C $3$ $7884800$ not computed 3C 1A 3C 3C 3C $(1,15,13)(2,16,14)(7,10,12)(8,9,11)(17,20,22)(18,19,21)$
$C_2^{10}.S_{11}$ 4A $4$ $110$ not computed 2B 4A 4A 4A 4A $(7,20,8,19)$
$C_2^{10}.S_{11}$ 4B $4$ $990$ not computed 2B 4B 4B 4B 4B $(3,4)(5,6)(7,20,8,19)(9,10)(11,12)(13,14)(15,16)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 4C $4$ $3960$ not computed 2E 4C 4C 4C 4C $(5,21,6,22)(7,10,8,9)$
$C_2^{10}.S_{11}$ 4D $4$ $3960$ not computed 2B 4D 4D 4D 4D $(15,18,16,17)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 4E $4$ $7920$ not computed 2B 4E 4E 4E 4E $(1,2)(3,4)(5,6)(7,9)(8,10)(11,12)(13,14)(15,20,16,19)(17,18)(21,22)$
$C_2^{10}.S_{11}$ 4F $4$ $9240$ not computed 2B 4F 4F 4F 4F $(1,2)(3,4)(11,12)(13,14)(15,16)(17,18)(19,22,20,21)$
$C_2^{10}.S_{11}$ 4G $4$ $13860$ not computed 2B 4G 4G 4G 4G $(5,6)(7,8)(9,10)(15,16)(19,22,20,21)$
$C_2^{10}.S_{11}$ 4H $4$ $15840$ not computed 2H 4H 4H 4H 4H $(1,2)(3,4)(5,21,19,13)(6,22,20,14)(7,8)(9,10)(11,12)(15,16)(17,18)$
$C_2^{10}.S_{11}$ 4I $4$ $27720$ not computed 2E 4I 4I 4I 4I $(1,2)(3,4)(7,8)(9,16,10,15)(11,12)(13,14)(17,18)(19,22,20,21)$
$C_2^{10}.S_{11}$ 4J $4$ $55440$ not computed 2F 4J 4J 4J 4J $(3,14,4,13)(7,16,8,15)(9,20,10,19)$
$C_2^{10}.S_{11}$ 4K $4$ $55440$ not computed 2B 4K 4K 4K 4K $(9,19)(10,20)(11,12)(13,18,14,17)$
$C_2^{10}.S_{11}$ 4L $4$ $83160$ not computed 2E 4L 4L 4L 4L $(1,7,2,8)(3,5,4,6)(13,14)(15,16)$
$C_2^{10}.S_{11}$ 4M $4$ $110880$ not computed 2H 4M 4M 4M 4M $(5,21,19,13)(6,22,20,14)(7,8)$
$C_2^{10}.S_{11}$ 4N $4$ $138600$ not computed 2E 4N 4N 4N 4N $(5,21,6,22)(7,10,8,9)(13,14)(15,16)(17,18)(19,20)$
$C_2^{10}.S_{11}$ 4O $4$ $166320$ not computed 2B 4O 4O 4O 4O $(3,4)(7,8)(9,19)(10,20)(11,12)(13,18,14,17)(15,16)(21,22)$
$C_2^{10}.S_{11}$ 4P $4$ $166320$ not computed 2B 4P 4P 4P 4P $(3,14,4,13)(7,15)(8,16)(9,19)(10,20)$
$C_2^{10}.S_{11}$ 4Q $4$ $166320$ not computed 2E 4Q 4Q 4Q 4Q $(1,18,2,17)(3,4)(5,6)(7,22,8,21)(9,10)(11,13)(12,14)(15,16)(19,20)$
$C_2^{10}.S_{11}$ 4R $4$ $277200$ not computed 2B 4R 4R 4R 4R $(7,9)(8,10)(13,18,14,17)(15,16)(19,20)(21,22)$
$C_2^{10}.S_{11}$ 4S $4$ $277200$ not computed 2F 4S 4S 4S 4S $(3,21,4,22)(5,14,6,13)(7,20,8,19)(9,10)(11,12)(15,16)(17,18)$
$C_2^{10}.S_{11}$ 4T $4$ $277200$ not computed 2D 4T 4T 4T 4T $(1,15,2,16)(5,12,6,11)(7,9,8,10)(19,21,20,22)$
$C_2^{10}.S_{11}$ 4U $4$ $332640$ not computed 2A 4U 4U 4U 4U $(1,3,2,4)(5,16,6,15)(7,18,8,17)(9,20,10,19)(11,21,12,22)$
$C_2^{10}.S_{11}$ 4V $4$ $332640$ not computed 2H 4V 4V 4V 4V $(1,2)(3,4)(5,7,19,18)(6,8,20,17)(9,10)(11,12)(15,16)$
$C_2^{10}.S_{11}$ 4W $4$ $554400$ not computed 2H 4W 4W 4W 4W $(5,21,19,13)(6,22,20,14)(11,12)(15,16)(17,18)$
$C_2^{10}.S_{11}$ 4X $4$ $554400$ not computed 2F 4X 4X 4X 4X $(3,14,4,13)(5,6)(7,16,8,15)(9,20,10,19)(21,22)$
$C_2^{10}.S_{11}$ 4Y $4$ $665280$ not computed 2H 4Y 4Y 4Y 4Y $(5,14,7,19)(6,13,8,20)(15,22)(16,21)$
$C_2^{10}.S_{11}$ 4Z $4$ $665280$ not computed 2N 4Z 4Z 4Z 4Z $(1,7,19,12)(2,8,20,11)(3,13,4,14)(5,6)(9,10)(15,16)(17,18)(21,22)$
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