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Results (32 matches)

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Elements of the group are displayed as permutations of degree 15.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 11P
$C_2^2\times \PSL(2,11)$ 1A $1$ $1$ $C_2^2\times \PSL(2,11)$ 1A 1A 1A 1A $()$
$C_2^2\times \PSL(2,11)$ 2A $2$ $1$ $C_2^2\times \PSL(2,11)$ 1A 2A 2A 2A $(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 2B $2$ $1$ $C_2^2\times \PSL(2,11)$ 1A 2B 2B 2B $(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 2C $2$ $1$ $C_2^2\times \PSL(2,11)$ 1A 2C 2C 2C $(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 2D $2$ $55$ $C_2^2\times D_6$ 1A 2D 2D 2D $(1,2)(3,9)(5,7)(6,11)$
$C_2^2\times \PSL(2,11)$ 2E $2$ $55$ $C_2^2\times D_6$ 1A 2E 2E 2E $(1,3)(2,11)(5,8)(6,9)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 2F $2$ $55$ $C_2^2\times D_6$ 1A 2F 2F 2F $(1,5)(3,11)(4,9)(7,10)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 2G $2$ $55$ $C_2^2\times D_6$ 1A 2G 2G 2G $(1,10)(2,5)(3,6)(4,11)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 3A $3$ $110$ $C_2^2\times C_6$ 3A 1A 3A 3A $(1,5,3)(2,7,9)(4,8,10)$
$C_2^2\times \PSL(2,11)$ 5A1 $5$ $132$ $C_2\times C_{10}$ 5A2 5A2 1A 5A1 $(1,7,2,10,5)(3,8,11,4,9)$
$C_2^2\times \PSL(2,11)$ 5A2 $5$ $132$ $C_2\times C_{10}$ 5A1 5A1 1A 5A2 $(1,2,5,7,10)(3,11,9,8,4)$
$C_2^2\times \PSL(2,11)$ 6A $6$ $110$ $C_2^2\times C_6$ 3A 2D 6A 6A $(1,9,5,2,3,7)(4,10,8)(6,11)$
$C_2^2\times \PSL(2,11)$ 6B $6$ $110$ $C_2^2\times C_6$ 3A 2E 6B 6B $(1,3)(2,5,9,11,8,6)(4,10,7)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 6C $6$ $110$ $C_2^2\times C_6$ 3A 2F 6C 6C $(1,7,11,5,10,3)(2,8,6)(4,9)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 6D $6$ $110$ $C_2^2\times C_6$ 3A 2C 6D 6D $(2,5,10)(3,11,9)(4,8,6)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 6E $6$ $110$ $C_2^2\times C_6$ 3A 2B 6E 6E $(1,10,3)(4,8,5)(6,9,7)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 6F $6$ $110$ $C_2^2\times C_6$ 3A 2A 6F 6F $(1,5,6)(2,9,4)(7,10,8)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 6G $6$ $110$ $C_2^2\times C_6$ 3A 2G 6G 6G $(1,4,5,10,11,2)(3,6)(7,9,8)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 10A1 $10$ $132$ $C_2\times C_{10}$ 5A1 10A3 2A 10A1 $(1,10,7,5,2)(3,4,8,9,11)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 10A3 $10$ $132$ $C_2\times C_{10}$ 5A2 10A1 2A 10A3 $(1,5,10,2,7)(3,9,4,11,8)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 10B1 $10$ $132$ $C_2\times C_{10}$ 5A2 10B3 2C 10B1 $(1,2,9,6,5)(3,7,8,11,10)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 10B3 $10$ $132$ $C_2\times C_{10}$ 5A1 10B1 2C 10B3 $(1,6,2,5,9)(3,11,7,10,8)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 10C1 $10$ $132$ $C_2\times C_{10}$ 5A2 10C3 2B 10C1 $(1,5,7,9,11)(2,4,6,10,3)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 10C3 $10$ $132$ $C_2\times C_{10}$ 5A1 10C1 2B 10C3 $(1,9,5,11,7)(2,10,4,3,6)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 11A1 $11$ $60$ $C_2\times C_{22}$ 11A-1 11A1 11A1 1A $(1,2,8,5,9,4,10,3,11,6,7)$
$C_2^2\times \PSL(2,11)$ 11A-1 $11$ $60$ $C_2\times C_{22}$ 11A1 11A-1 11A-1 1A $(1,7,6,11,3,10,4,9,5,8,2)$
$C_2^2\times \PSL(2,11)$ 22A1 $22$ $60$ $C_2\times C_{22}$ 11A1 22A1 22A1 2B $(1,10,2,3,8,11,5,6,9,7,4)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 22A-1 $22$ $60$ $C_2\times C_{22}$ 11A-1 22A-1 22A-1 2B $(1,4,7,9,6,5,11,8,3,2,10)(12,15)(13,14)$
$C_2^2\times \PSL(2,11)$ 22B1 $22$ $60$ $C_2\times C_{22}$ 11A1 22B1 22B1 2A $(1,9,8,6,7,11,3,5,4,2,10)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 22B-1 $22$ $60$ $C_2\times C_{22}$ 11A-1 22B-1 22B-1 2A $(1,10,2,4,5,3,11,7,6,8,9)(12,13)(14,15)$
$C_2^2\times \PSL(2,11)$ 22C1 $22$ $60$ $C_2\times C_{22}$ 11A1 22C1 22C1 2C $(1,11,9,2,8,5,10,7,3,4,6)(12,14)(13,15)$
$C_2^2\times \PSL(2,11)$ 22C-1 $22$ $60$ $C_2\times C_{22}$ 11A-1 22C-1 22C-1 2C $(1,6,4,3,7,10,5,8,2,9,11)(12,14)(13,15)$
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