↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 54 matches)

Next   displayed columns for results

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

Group Label Order Size Centralizer Powers Representative
2P 3P
$D_6^2:C_2^2$ 1A $1$ $1$ $D_6^2:C_2^2$ 1A 1A $()$
$D_6^2:C_2^2$ 2A $2$ $1$ $D_6^2:C_2^2$ 1A 2A $(11,12)$
$D_6^2:C_2^2$ 2B $2$ $1$ $D_6^2:C_2^2$ 1A 2B $(7,8)(9,10)$
$D_6^2:C_2^2$ 2C $2$ $1$ $D_6^2:C_2^2$ 1A 2C $(7,8)(9,10)(11,12)$
$D_6^2:C_2^2$ 2D $2$ $2$ $C_2\times D_6^2$ 1A 2D $(9,10)$
$D_6^2:C_2^2$ 2E $2$ $2$ $C_2\times D_6^2$ 1A 2E $(9,10)(11,12)$
$D_6^2:C_2^2$ 2F $2$ $6$ $C_2^3\times D_6$ 1A 2F $(3,5)$
$D_6^2:C_2^2$ 2G $2$ $6$ $C_2^3\times D_6$ 1A 2G $(3,5)(11,12)$
$D_6^2:C_2^2$ 2H $2$ $6$ $C_2^3\times D_6$ 1A 2H $(3,5)(9,10)$
$D_6^2:C_2^2$ 2I $2$ $6$ $C_2^3\times D_6$ 1A 2I $(3,5)(9,10)(11,12)$
$D_6^2:C_2^2$ 2J $2$ $6$ $C_2^3\times D_6$ 1A 2J $(3,5)(7,8)$
$D_6^2:C_2^2$ 2K $2$ $6$ $C_2^3\times D_6$ 1A 2K $(3,5)(7,8)(11,12)$
$D_6^2:C_2^2$ 2L $2$ $6$ $C_2^3\times D_6$ 1A 2L $(3,5)(7,8)(9,10)$
$D_6^2:C_2^2$ 2M $2$ $6$ $C_2^3\times D_6$ 1A 2M $(3,5)(7,8)(9,10)(11,12)$
$D_6^2:C_2^2$ 2N $2$ $9$ $C_2^3:D_4$ 1A 2N $(3,5)(4,6)(11,12)$
$D_6^2:C_2^2$ 2O $2$ $9$ $C_2^3:D_4$ 1A 2O $(3,5)(4,6)(7,8)(9,10)(11,12)$
$D_6^2:C_2^2$ 2P $2$ $9$ $C_2^3:D_4$ 1A 2P $(3,5)(4,6)$
$D_6^2:C_2^2$ 2Q $2$ $9$ $C_2^3:D_4$ 1A 2Q $(3,5)(4,6)(7,8)(9,10)$
$D_6^2:C_2^2$ 2R $2$ $12$ $C_2^2\times D_6$ 1A 2R $(1,4)(2,5)(3,6)(7,9)(8,10)$
$D_6^2:C_2^2$ 2S $2$ $12$ $C_2^2\times D_6$ 1A 2S $(1,4)(2,5)(3,6)(7,9)(8,10)(11,12)$
$D_6^2:C_2^2$ 2T $2$ $18$ $C_2^5$ 1A 2T $(3,5)(4,6)(9,10)$
$D_6^2:C_2^2$ 2U $2$ $18$ $C_2^5$ 1A 2U $(3,5)(4,6)(9,10)(11,12)$
$D_6^2:C_2^2$ 3A $3$ $4$ $C_6^2:C_2^2$ 3A 1A $(2,6,4)$
$D_6^2:C_2^2$ 3B $3$ $4$ $C_6^2:C_2^2$ 3B 1A $(1,5,3)(2,6,4)$
$D_6^2:C_2^2$ 4A $4$ $12$ $C_4\times D_6$ 2B 4A $(1,4)(2,5)(3,6)(7,10,8,9)$
$D_6^2:C_2^2$ 4B $4$ $12$ $C_4\times D_6$ 2B 4B $(1,4)(2,5)(3,6)(7,10,8,9)(11,12)$
$D_6^2:C_2^2$ 4C $4$ $36$ $C_2^2\times C_4$ 2P 4C $(1,2)(3,4,5,6)(7,9)(8,10)(11,12)$
$D_6^2:C_2^2$ 4D $4$ $36$ $C_2^2\times C_4$ 2P 4D $(1,2)(3,6,5,4)(7,9)(8,10)$
$D_6^2:C_2^2$ 4E $4$ $36$ $C_2^2\times C_4$ 2Q 4E $(1,2)(3,6,5,4)(7,9,8,10)$
$D_6^2:C_2^2$ 4F $4$ $36$ $C_2^2\times C_4$ 2Q 4F $(1,6,3,2)(4,5)(7,9,8,10)(11,12)$
$D_6^2:C_2^2$ 6A $6$ $4$ $C_6^2:C_2^2$ 3A 2A $(2,4,6)(11,12)$
$D_6^2:C_2^2$ 6B $6$ $4$ $C_6^2:C_2^2$ 3A 2D $(2,4,6)(9,10)$
$D_6^2:C_2^2$ 6C $6$ $4$ $C_6^2:C_2^2$ 3A 2E $(2,4,6)(9,10)(11,12)$
$D_6^2:C_2^2$ 6D $6$ $4$ $C_6^2:C_2^2$ 3A 2D $(2,4,6)(7,8)$
$D_6^2:C_2^2$ 6E $6$ $4$ $C_6^2:C_2^2$ 3A 2E $(2,4,6)(7,8)(11,12)$
$D_6^2:C_2^2$ 6F $6$ $4$ $C_6^2:C_2^2$ 3A 2B $(2,4,6)(7,8)(9,10)$
$D_6^2:C_2^2$ 6G $6$ $4$ $C_6^2:C_2^2$ 3A 2C $(2,4,6)(7,8)(9,10)(11,12)$
$D_6^2:C_2^2$ 6H $6$ $4$ $C_6^2:C_2^2$ 3B 2A $(1,3,5)(2,4,6)(11,12)$
$D_6^2:C_2^2$ 6I $6$ $4$ $C_6^2:C_2^2$ 3B 2C $(1,3,5)(2,4,6)(7,8)(9,10)(11,12)$
$D_6^2:C_2^2$ 6J $6$ $4$ $C_6^2:C_2^2$ 3B 2B $(1,3,5)(2,4,6)(7,8)(9,10)$
$D_6^2:C_2^2$ 6K $6$ $8$ $C_2\times C_6^2$ 3B 2D $(1,3,5)(2,4,6)(9,10)$
$D_6^2:C_2^2$ 6L $6$ $8$ $C_2\times C_6^2$ 3B 2E $(1,3,5)(2,4,6)(9,10)(11,12)$
$D_6^2:C_2^2$ 6M $6$ $12$ $C_2^3\times C_6$ 3A 2F $(2,4,6)(3,5)$
$D_6^2:C_2^2$ 6N $6$ $12$ $C_2^3\times C_6$ 3A 2G $(2,4,6)(3,5)(11,12)$
$D_6^2:C_2^2$ 6O $6$ $12$ $C_2^3\times C_6$ 3A 2H $(2,4,6)(3,5)(9,10)$
$D_6^2:C_2^2$ 6P $6$ $12$ $C_2^3\times C_6$ 3A 2I $(2,4,6)(3,5)(9,10)(11,12)$
$D_6^2:C_2^2$ 6Q $6$ $12$ $C_2^3\times C_6$ 3A 2J $(2,4,6)(3,5)(7,8)$
$D_6^2:C_2^2$ 6R $6$ $12$ $C_2^3\times C_6$ 3A 2K $(2,4,6)(3,5)(7,8)(11,12)$
$D_6^2:C_2^2$ 6S $6$ $12$ $C_2^3\times C_6$ 3A 2L $(2,4,6)(3,5)(7,8)(9,10)$
$D_6^2:C_2^2$ 6T $6$ $12$ $C_2^3\times C_6$ 3A 2M $(2,4,6)(3,5)(7,8)(9,10)(11,12)$
Next   displayed columns for results