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Elements of the group are displayed as permutations of degree 14.

Group Label Order Size Centralizer Powers Representative
2P 3P
$D_6^2.C_2^3$ 1A $1$ $1$ $D_6^2.C_2^3$ 1A 1A $()$
$D_6^2.C_2^3$ 2A $2$ $1$ $D_6^2.C_2^3$ 1A 2A $(7,10)(8,9)$
$D_6^2.C_2^3$ 2B $2$ $1$ $D_6^2.C_2^3$ 1A 2B $(11,12)(13,14)$
$D_6^2.C_2^3$ 2C $2$ $1$ $D_6^2.C_2^3$ 1A 2C $(11,13)(12,14)$
$D_6^2.C_2^3$ 2D $2$ $1$ $D_6^2.C_2^3$ 1A 2D $(11,14)(12,13)$
$D_6^2.C_2^3$ 2E $2$ $1$ $D_6^2.C_2^3$ 1A 2E $(7,10)(8,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 2F $2$ $1$ $D_6^2.C_2^3$ 1A 2F $(7,10)(8,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 2G $2$ $1$ $D_6^2.C_2^3$ 1A 2G $(7,10)(8,9)(11,14)(12,13)$
$D_6^2.C_2^3$ 2H $2$ $6$ $C_{12}:C_2^4$ 1A 2H $(3,6)$
$D_6^2.C_2^3$ 2I $2$ $6$ $C_{12}:C_2^4$ 1A 2I $(3,6)(11,12)(13,14)$
$D_6^2.C_2^3$ 2J $2$ $6$ $C_{12}:C_2^4$ 1A 2J $(3,6)(11,13)(12,14)$
$D_6^2.C_2^3$ 2K $2$ $6$ $C_{12}:C_2^4$ 1A 2K $(3,6)(11,14)(12,13)$
$D_6^2.C_2^3$ 2L $2$ $6$ $C_{12}:C_2^4$ 1A 2L $(3,6)(7,10)(8,9)$
$D_6^2.C_2^3$ 2M $2$ $6$ $C_{12}:C_2^4$ 1A 2M $(3,6)(7,10)(8,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 2N $2$ $6$ $C_{12}:C_2^4$ 1A 2N $(3,6)(7,10)(8,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 2O $2$ $6$ $C_{12}:C_2^4$ 1A 2O $(3,6)(7,10)(8,9)(11,14)(12,13)$
$D_6^2.C_2^3$ 2P $2$ $6$ $C_{12}:C_2^4$ 1A 2P $(1,4)(2,6)(3,5)$
$D_6^2.C_2^3$ 2Q $2$ $6$ $C_{12}:C_2^4$ 1A 2Q $(1,4)(2,6)(3,5)(11,12)(13,14)$
$D_6^2.C_2^3$ 2R $2$ $6$ $C_{12}:C_2^4$ 1A 2R $(1,4)(2,6)(3,5)(11,13)(12,14)$
$D_6^2.C_2^3$ 2S $2$ $6$ $C_{12}:C_2^4$ 1A 2S $(1,4)(2,6)(3,5)(11,14)(12,13)$
$D_6^2.C_2^3$ 2T $2$ $6$ $C_{12}:C_2^4$ 1A 2T $(1,4)(2,6)(3,5)(7,10)(8,9)$
$D_6^2.C_2^3$ 2U $2$ $6$ $C_{12}:C_2^4$ 1A 2U $(1,4)(2,6)(3,5)(7,10)(8,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 2V $2$ $6$ $C_{12}:C_2^4$ 1A 2V $(1,4)(2,6)(3,5)(7,10)(8,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 2W $2$ $6$ $C_{12}:C_2^4$ 1A 2W $(1,4)(2,6)(3,5)(7,10)(8,9)(11,14)(12,13)$
$D_6^2.C_2^3$ 2X $2$ $9$ $C_4^2:C_2^3$ 1A 2X $(3,6)(4,5)(11,12)(13,14)$
$D_6^2.C_2^3$ 2Y $2$ $9$ $C_4^2:C_2^3$ 1A 2Y $(3,6)(4,5)(11,13)(12,14)$
$D_6^2.C_2^3$ 2Z $2$ $9$ $C_4^2:C_2^3$ 1A 2Z $(3,6)(4,5)(11,14)(12,13)$
$D_6^2.C_2^3$ 2AA $2$ $9$ $C_4^2:C_2^3$ 1A 2AA $(3,6)(4,5)(7,10)(8,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 2AB $2$ $9$ $C_4^2:C_2^3$ 1A 2AB $(3,6)(4,5)(7,10)(8,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 2AC $2$ $9$ $C_4^2:C_2^3$ 1A 2AC $(3,6)(4,5)(7,10)(8,9)(11,14)(12,13)$
$D_6^2.C_2^3$ 2AD $2$ $9$ $C_4^2:C_2^3$ 1A 2AD $(3,6)(4,5)$
$D_6^2.C_2^3$ 2AE $2$ $9$ $C_4^2:C_2^3$ 1A 2AE $(3,6)(4,5)(7,10)(8,9)$
$D_6^2.C_2^3$ 3A $3$ $4$ $C_6^2.C_2^3$ 3A 1A $(2,5,4)$
$D_6^2.C_2^3$ 3B $3$ $4$ $C_6^2.C_2^3$ 3B 1A $(1,6,3)(2,5,4)$
$D_6^2.C_2^3$ 4A1 $4$ $1$ $D_6^2.C_2^3$ 2A 4A-1 $(7,9,10,8)$
$D_6^2.C_2^3$ 4A-1 $4$ $1$ $D_6^2.C_2^3$ 2A 4A1 $(7,8,10,9)$
$D_6^2.C_2^3$ 4B1 $4$ $1$ $D_6^2.C_2^3$ 2A 4B-1 $(7,9,10,8)(11,12)(13,14)$
$D_6^2.C_2^3$ 4B-1 $4$ $1$ $D_6^2.C_2^3$ 2A 4B1 $(7,8,10,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 4C1 $4$ $1$ $D_6^2.C_2^3$ 2A 4C-1 $(7,9,10,8)(11,13)(12,14)$
$D_6^2.C_2^3$ 4C-1 $4$ $1$ $D_6^2.C_2^3$ 2A 4C1 $(7,8,10,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 4D1 $4$ $1$ $D_6^2.C_2^3$ 2A 4D-1 $(7,9,10,8)(11,14)(12,13)$
$D_6^2.C_2^3$ 4D-1 $4$ $1$ $D_6^2.C_2^3$ 2A 4D1 $(7,8,10,9)(11,14)(12,13)$
$D_6^2.C_2^3$ 4E1 $4$ $6$ $C_{12}:C_2^4$ 2A 4E-1 $(3,6)(7,9,10,8)$
$D_6^2.C_2^3$ 4E-1 $4$ $6$ $C_{12}:C_2^4$ 2A 4E1 $(3,6)(7,8,10,9)$
$D_6^2.C_2^3$ 4F1 $4$ $6$ $C_{12}:C_2^4$ 2A 4F-1 $(3,6)(7,9,10,8)(11,12)(13,14)$
$D_6^2.C_2^3$ 4F-1 $4$ $6$ $C_{12}:C_2^4$ 2A 4F1 $(3,6)(7,8,10,9)(11,12)(13,14)$
$D_6^2.C_2^3$ 4G1 $4$ $6$ $C_{12}:C_2^4$ 2A 4G-1 $(3,6)(7,9,10,8)(11,13)(12,14)$
$D_6^2.C_2^3$ 4G-1 $4$ $6$ $C_{12}:C_2^4$ 2A 4G1 $(3,6)(7,8,10,9)(11,13)(12,14)$
$D_6^2.C_2^3$ 4H1 $4$ $6$ $C_{12}:C_2^4$ 2A 4H-1 $(3,6)(7,9,10,8)(11,14)(12,13)$
$D_6^2.C_2^3$ 4H-1 $4$ $6$ $C_{12}:C_2^4$ 2A 4H1 $(3,6)(7,8,10,9)(11,14)(12,13)$
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