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Results (43 matches)

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Elements of the group are displayed as permutations of degree 12.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 11P
$A_{12}$ 1A $1$ $1$ not computed 1A 1A 1A 1A 1A $()$
$A_{12}$ 2A $2$ $1485$ not computed 1A 2A 2A 2A 2A $(2,8)(7,12)$
$A_{12}$ 2B $2$ $10395$ not computed 1A 2B 2B 2B 2B $(1,3)(2,8)(4,9)(5,10)(6,11)(7,12)$
$A_{12}$ 2C $2$ $51975$ not computed 1A 2C 2C 2C 2C $(1,9)(3,6)(5,10)(7,8)$
$A_{12}$ 3A $3$ $440$ not computed 3A 1A 3A 3A 3A $(1,7,8)$
$A_{12}$ 3B $3$ $36960$ not computed 3B 1A 3B 3B 3B $(2,5,6)(3,7,9)$
$A_{12}$ 3C $3$ $246400$ not computed 3C 1A 3C 3C 3C $(1,11,9)(2,6,4)(3,12,8)(5,10,7)$
$A_{12}$ 3D $3$ $492800$ not computed 3D 1A 3D 3D 3D $(2,7,5)(3,6,10)(9,11,12)$
$A_{12}$ 4A $4$ $83160$ not computed 2A 4A 4A 4A 4A $(1,11)(2,10,8,5)$
$A_{12}$ 4B $4$ $623700$ not computed 2C 4B 4B 4B 4B $(2,6,11,8)(3,5,4,12)$
$A_{12}$ 4C $4$ $1247400$ not computed 2A 4C 4C 4C 4C $(1,7)(2,6)(3,8)(4,11,9,10)$
$A_{12}$ 4D $4$ $1871100$ not computed 2C 4D 4D 4D 4D $(1,3,9,6)(2,11)(4,12)(5,8,10,7)$
$A_{12}$ 5A $5$ $19008$ not computed 5A 5A 1A 5A 5A $(3,6,12,8,4)$
$A_{12}$ 5B $5$ $4790016$ not computed 5B 5B 1A 5B 5B $(2,9,5,11,7)(4,10,6,12,8)$
$A_{12}$ 6A $6$ $166320$ not computed 3A 2A 6A 6A 6A $(1,5)(4,12)(6,7,10)$
$A_{12}$ 6B $6$ $415800$ not computed 3A 2C 6B 6B 6B $(1,4)(2,8)(3,9)(5,6,7)(10,12)$
$A_{12}$ 6C $6$ $1663200$ not computed 3B 2A 6C 6C 6C $(1,2,10)(3,5,4)(8,9)(11,12)$
$A_{12}$ 6D $6$ $1663200$ not computed 3B 2B 6D 6D 6D $(1,4,11,3,12,2)(5,6)(7,10)(8,9)$
$A_{12}$ 6E $6$ $1663200$ not computed 3B 2C 6E 6E 6E $(1,10,2,3,5,8)(4,6)$
$A_{12}$ 6F $6$ $6652800$ not computed 3C 2B 6F 6F 6F $(1,7,11,5,9,10)(2,3,6,12,4,8)$
$A_{12}$ 6G $6$ $13305600$ not computed 3D 2C 6G 6G 6G $(1,9,7,8,3,4)(2,12,10)(6,11)$
$A_{12}$ 7A $7$ $570240$ not computed 7A 7A 7A 1A 7A $(1,9,2,10,7,11,5)$
$A_{12}$ 8A $8$ $14968800$ not computed 4D 8A 8A 8A 8A $(1,8,3,10,9,7,6,5)(2,12,11,4)$
$A_{12}$ 8B $8$ $14968800$ not computed 4B 8B 8B 8B 8B $(1,9)(2,12,6,3,11,5,8,4)$
$A_{12}$ 9A $9$ $8870400$ not computed 9A 3D 9A 9A 9A $(2,4,11,8,5,9,12,10,3)$
$A_{12}$ 9B1 $9$ $8870400$ not computed 9B-1 3D 9B-1 9B1 9B-1 $(1,4,8)(2,12,6,7,9,10,5,11,3)$
$A_{12}$ 9B-1 $9$ $8870400$ not computed 9B1 3D 9B1 9B-1 9B1 $(1,8,4)(2,3,11,5,10,9,7,6,12)$
$A_{12}$ 10A $10$ $1995840$ not computed 5A 10A 2A 10A 10A $(2,8)(4,7,6,12,9)(5,10)$
$A_{12}$ 10B $10$ $23950080$ not computed 5B 10B 2B 10B 10B $(1,3)(2,6,9,12,5,8,11,4,7,10)$
$A_{12}$ 11A1 $11$ $21772800$ not computed 11A-1 11A1 11A1 11A-1 1A $(1,9,4,3,8,2,5,11,10,6,12)$
$A_{12}$ 11A-1 $11$ $21772800$ not computed 11A1 11A-1 11A-1 11A1 1A $(1,12,6,10,11,5,2,8,3,4,9)$
$A_{12}$ 12A $12$ $3326400$ not computed 6C 4A 12A 12A 12A $(1,10,2)(3,4,5)(6,7)(8,12,9,11)$
$A_{12}$ 12B $12$ $3326400$ not computed 6A 4A 12B 12B 12B $(1,12,5,4)(3,8)(6,10,7)$
$A_{12}$ 12C $12$ $4989600$ not computed 6B 4B 12C 12C 12C $(1,3,4,9)(2,12,8,10)(5,7,6)$
$A_{12}$ 12D $12$ $9979200$ not computed 6C 4C 12D 12D 12D $(1,8,2,7,3,6)(4,10,9,11)$
$A_{12}$ 14A $14$ $8553600$ not computed 7A 14A 14A 2A 14A $(1,9,5,11,4,10,3)(2,8)(7,12)$
$A_{12}$ 15A $15$ $1330560$ not computed 15A 5A 3A 15A 15A $(1,12,5)(2,4,10,7,6)$
$A_{12}$ 15B $15$ $5322240$ not computed 15B 5A 3B 15B 15B $(2,6,5)(3,9,7)(4,12,11,10,8)$
$A_{12}$ 20A $20$ $11975040$ not computed 10A 20A 4A 20A 20A $(1,11)(2,10,8,5)(4,12,7,9,6)$
$A_{12}$ 21A $21$ $11404800$ not computed 21A 7A 21A 3A 21A $(1,7,8)(2,3,12,6,9,10,4)$
$A_{12}$ 30A $30$ $3991680$ not computed 15A 10A 6A 30A 30A $(1,5,12)(2,7,4,6,10)(3,8)(9,11)$
$A_{12}$ 35A1 $35$ $6842880$ not computed 35A-1 35A1 7A 5A 35A1 $(1,10,5,2,11,9,7)(3,8,6,4,12)$
$A_{12}$ 35A-1 $35$ $6842880$ not computed 35A1 35A-1 7A 5A 35A-1 $(1,7,9,11,2,5,10)(3,12,4,6,8)$
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