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

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_2^6.D_6^2$ 1A $1$ $1$ $C_2^6.D_6^2$ 1A 1A $()$
$C_2^6.D_6^2$ 2A $2$ $1$ $C_2^6.D_6^2$ 1A 2A $(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2B $2$ $2$ $C_2^5.D_6^2$ 1A 2B $(11,13)(12,14)$
$C_2^6.D_6^2$ 2C $2$ $2$ $C_2^5.D_6^2$ 1A 2C $(9,10)(12,14)$
$C_2^6.D_6^2$ 2D $2$ $2$ $C_2^5.D_6^2$ 1A 2D $(8,15)(12,14)$
$C_2^6.D_6^2$ 2E $2$ $3$ $C_3:(C_2^5.C_2^5)$ 1A 2E $(4,6)(5,7)$
$C_2^6.D_6^2$ 2F $2$ $3$ $C_3:(C_2^5.C_2^5)$ 1A 2F $(4,6)(5,7)(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2G $2$ $3$ $C_2^4:D_4\times S_4$ 1A 2G $(2,3)$
$C_2^6.D_6^2$ 2H $2$ $3$ $C_2^4:D_4\times S_4$ 1A 2H $(2,3)(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2I $2$ $4$ $C_2^4:D_6^2$ 1A 2I $(12,14)$
$C_2^6.D_6^2$ 2J $2$ $4$ $C_2^4:D_6^2$ 1A 2J $(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2K $2$ $4$ $C_2^4:D_6^2$ 1A 2K $(8,9)(10,15)(11,12)(13,14)$
$C_2^6.D_6^2$ 2L $2$ $4$ $C_2^4:D_6^2$ 1A 2L $(8,11)(9,12)(10,14)(13,15)$
$C_2^6.D_6^2$ 2M $2$ $4$ $C_2^4:D_6^2$ 1A 2M $(8,12)(9,11)(10,13)(14,15)$
$C_2^6.D_6^2$ 2N $2$ $6$ $C_2^4:D_4\times D_6$ 1A 2N $(6,7)$
$C_2^6.D_6^2$ 2O $2$ $6$ $C_2^4:D_4\times D_6$ 1A 2O $(6,7)(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2P $2$ $6$ $C_2^7:D_6$ 1A 2P $(2,3)(11,13)(12,14)$
$C_2^6.D_6^2$ 2Q $2$ $6$ $C_2^7:D_6$ 1A 2Q $(2,3)(9,10)(12,14)$
$C_2^6.D_6^2$ 2R $2$ $6$ $C_2^7:D_6$ 1A 2R $(2,3)(9,10)(11,13)$
$C_2^6.D_6^2$ 2S $2$ $6$ $C_2^2:D_4^2\times S_3$ 1A 2S $(4,6)(5,7)(11,13)(12,14)$
$C_2^6.D_6^2$ 2T $2$ $6$ $C_2^2:D_4^2\times S_3$ 1A 2T $(4,6)(5,7)(9,10)(12,14)$
$C_2^6.D_6^2$ 2U $2$ $6$ $C_2^2:D_4^2\times S_3$ 1A 2U $(4,6)(5,7)(8,15)(12,14)$
$C_2^6.D_6^2$ 2V $2$ $9$ $C_2^4:D_4^2$ 1A 2V $(2,3)(4,5)(6,7)$
$C_2^6.D_6^2$ 2W $2$ $9$ $C_2^4:D_4^2$ 1A 2W $(2,3)(4,5)(6,7)(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2X $2$ $12$ $C_2^6:D_6$ 1A 2X $(6,7)(11,13)(12,14)$
$C_2^6.D_6^2$ 2Y $2$ $12$ $C_2^6:D_6$ 1A 2Y $(6,7)(9,10)(12,14)$
$C_2^6.D_6^2$ 2Z $2$ $12$ $C_2^6:D_6$ 1A 2Z $(6,7)(9,10)(11,13)$
$C_2^6.D_6^2$ 2AA $2$ $12$ $C_{12}:C_2^6$ 1A 2AA $(4,5)(6,7)(12,14)$
$C_2^6.D_6^2$ 2AB $2$ $12$ $C_{12}:C_2^6$ 1A 2AB $(4,5)(6,7)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AC $2$ $12$ $D_6\times D_4^2$ 1A 2AC $(4,5)(6,7)(8,9)(10,15)(11,12)(13,14)$
$C_2^6.D_6^2$ 2AD $2$ $12$ $D_6\times D_4^2$ 1A 2AD $(4,5)(6,7)(8,11)(9,12)(10,14)(13,15)$
$C_2^6.D_6^2$ 2AE $2$ $12$ $D_6\times D_4^2$ 1A 2AE $(4,5)(6,7)(8,12)(9,11)(10,13)(14,15)$
$C_2^6.D_6^2$ 2AF $2$ $12$ $S_4\times C_2^5$ 1A 2AF $(2,3)(12,14)$
$C_2^6.D_6^2$ 2AG $2$ $12$ $S_4\times C_2^5$ 1A 2AG $(2,3)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AH $2$ $12$ $\GL(2,\mathbb{Z}/4):C_2^3$ 1A 2AH $(2,3)(8,9)(10,15)(11,12)(13,14)$
$C_2^6.D_6^2$ 2AI $2$ $12$ $\GL(2,\mathbb{Z}/4):C_2^3$ 1A 2AI $(2,3)(8,11)(9,12)(10,14)(13,15)$
$C_2^6.D_6^2$ 2AJ $2$ $12$ $\GL(2,\mathbb{Z}/4):C_2^3$ 1A 2AJ $(2,3)(8,12)(9,11)(10,13)(14,15)$
$C_2^6.D_6^2$ 2AK $2$ $18$ not computed 1A 2AK $(2,3)(6,7)$
$C_2^6.D_6^2$ 2AL $2$ $18$ not computed 1A 2AL $(2,3)(6,7)(8,15)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AM $2$ $18$ not computed 1A 2AM $(2,3)(4,5)(6,7)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AN $2$ $18$ not computed 1A 2AN $(2,3)(4,5)(6,7)(9,10)(12,14)$
$C_2^6.D_6^2$ 2AO $2$ $18$ not computed 1A 2AO $(2,3)(4,5)(6,7)(9,10)(11,13)$
$C_2^6.D_6^2$ 2AP $2$ $24$ not computed 1A 2AP $(6,7)(12,14)$
$C_2^6.D_6^2$ 2AQ $2$ $24$ not computed 1A 2AQ $(6,7)(9,10)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AR $2$ $24$ not computed 1A 2AR $(6,7)(8,9)(10,15)(11,12)(13,14)$
$C_2^6.D_6^2$ 2AS $2$ $24$ not computed 1A 2AS $(6,7)(8,11)(9,12)(10,14)(13,15)$
$C_2^6.D_6^2$ 2AT $2$ $24$ not computed 1A 2AT $(6,7)(8,12)(9,11)(10,13)(14,15)$
$C_2^6.D_6^2$ 2AU $2$ $36$ not computed 1A 2AU $(2,3)(6,7)(11,13)(12,14)$
$C_2^6.D_6^2$ 2AV $2$ $36$ not computed 1A 2AV $(2,3)(6,7)(9,10)(12,14)$
$C_2^6.D_6^2$ 2AW $2$ $36$ not computed 1A 2AW $(2,3)(6,7)(9,10)(11,13)$
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