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Elements of the group are displayed as permutations of degree 26.

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_6^4.D_6\wr C_2$ 1A $1$ $1$ $C_6^4.D_6\wr C_2$ 1A 1A $()$
$C_6^4.D_6\wr C_2$ 2A $2$ $6$ $C_6^2.C_3^3.C_2^5.C_2$ 1A 2A $(19,22)(24,26)$
$C_6^4.D_6\wr C_2$ 2B $2$ $9$ $D_6^2.D_6\wr C_2$ 1A 2B $(19,22)(20,21)(23,25)(24,26)$
$C_6^4.D_6\wr C_2$ 2C $2$ $18$ $(C_2\times C_6\times A_4).D_6^2$ 1A 2C $(2,14)(5,16)(8,11)(9,18)$
$C_6^4.D_6\wr C_2$ 2D $2$ $36$ $C_2\times C_6^2.D_6^2$ 1A 2D $(6,15)(7,17)(10,12)(22,26)$
$C_6^4.D_6\wr C_2$ 2E $2$ $36$ $C_2\times C_6^2.D_6^2$ 1A 2E $(5,18)(8,11)(9,16)(21,23)$
$C_6^4.D_6\wr C_2$ 2F $2$ $54$ not computed 1A 2F $(2,14)(5,16)(8,11)(9,18)(20,21)(23,25)$
$C_6^4.D_6\wr C_2$ 2G $2$ $54$ not computed 1A 2G $(2,14)(5,16)(8,11)(9,18)(19,22)(24,26)$
$C_6^4.D_6\wr C_2$ 2H $2$ $81$ not computed 1A 2H $(1,18)(2,16)(3,17)(4,6)(5,11)(8,14)(10,15)(12,13)$
$C_6^4.D_6\wr C_2$ 2I $2$ $108$ not computed 1A 2I $(6,15)(7,17)(10,12)(20,21)(22,26)(23,25)$
$C_6^4.D_6\wr C_2$ 2J $2$ $108$ not computed 1A 2J $(5,18)(8,11)(9,16)(19,22)(21,23)(24,26)$
$C_6^4.D_6\wr C_2$ 2K $2$ $162$ not computed 1A 2K $(2,14)(5,16)(8,11)(9,18)(19,22)(20,21)(23,25)(24,26)$
$C_6^4.D_6\wr C_2$ 2L $2$ $324$ not computed 1A 2L $(1,11)(2,16)(4,13)(5,18)(6,10)(7,17)(12,15)(21,25)$
$C_6^4.D_6\wr C_2$ 2M $2$ $324$ not computed 1A 2M $(1,5)(4,13)(6,10)(7,17)(8,14)(11,18)(12,15)(21,25)$
$C_6^4.D_6\wr C_2$ 2N $2$ $324$ not computed 1A 2N $(1,9)(2,8)(3,7)(4,10)(11,16)(13,15)(19,24)(23,25)$
$C_6^4.D_6\wr C_2$ 2O $2$ $324$ not computed 1A 2O $(1,11)(2,16)(3,4)(5,18)(6,12)(7,15)(20,23)(24,26)$
$C_6^4.D_6\wr C_2$ 2P $2$ $432$ not computed 1A 2P $(1,17)(2,4)(3,9)(5,10)(6,11)(7,18)(8,12)(13,16)(14,15)(19,23)(20,22)(21,26)(24,25)$
$C_6^4.D_6\wr C_2$ 2Q $2$ $486$ not computed 1A 2Q $(2,14)(3,6)(4,12)(5,16)(7,15)(8,11)(9,18)(13,17)(19,24)(22,26)$
$C_6^4.D_6\wr C_2$ 2R $2$ $648$ not computed 1A 2R $(3,17)(4,12)(5,18)(6,13)(8,11)(9,16)(20,25)(22,26)$
$C_6^4.D_6\wr C_2$ 2S $2$ $729$ $D_4^2:D_4$ 1A 2S $(2,14)(3,6)(4,12)(5,16)(7,15)(8,11)(9,18)(13,17)(19,24)(20,25)(21,23)(22,26)$
$C_6^4.D_6\wr C_2$ 2T $2$ $972$ not computed 1A 2T $(1,14)(3,4)(5,8)(6,12)(7,15)(9,16)(11,18)(20,23)(21,25)(24,26)$
$C_6^4.D_6\wr C_2$ 2U $2$ $972$ not computed 1A 2U $(1,9)(2,8)(3,12)(4,17)(6,13)(7,10)(11,16)(19,22)(23,25)(24,26)$
$C_6^4.D_6\wr C_2$ 3A $3$ $4$ $(C_6^2\times A_4).S_3^3$ 3A 1A $(3,13,4)(6,12,17)(7,15,10)$
$C_6^4.D_6\wr C_2$ 3B $3$ $4$ $C_6^4:\SOPlus(4,2)$ 3B 1A $(1,8,11)(2,16,9)(3,13,4)(5,14,18)(6,12,17)(7,15,10)$
$C_6^4.D_6\wr C_2$ 3C $3$ $12$ $C_6^2:C_3.C_6^2.C_2^3$ 3C 1A $(3,10,6)(4,15,17)(7,12,13)$
$C_6^4.D_6\wr C_2$ 3D $3$ $24$ $C_6^2.(C_6\times S_3^2).C_2$ 3D 1A $(1,14,2)(3,13,4)(5,9,11)(6,12,17)(7,15,10)(8,18,16)$
$C_6^4.D_6\wr C_2$ 3E $3$ $36$ $C_6\wr D_4$ 3E 1A $(1,14,2)(3,10,6)(4,15,17)(5,9,11)(7,12,13)(8,18,16)$
$C_6^4.D_6\wr C_2$ 3F $3$ $48$ not computed 3F 1A $(6,12,17)(7,10,15)(22,24,26)$
$C_6^4.D_6\wr C_2$ 3G $3$ $96$ not computed 3G 1A $(2,9,16)(3,13,4)(5,14,18)(6,12,17)(7,15,10)(21,23,25)$
$C_6^4.D_6\wr C_2$ 3H $3$ $96$ not computed 3H 1A $(1,9,14)(2,18,8)(5,11,16)(20,23,21)$
$C_6^4.D_6\wr C_2$ 3I $3$ $192$ not computed 3I 1A $(1,11,8)(2,9,16)(3,15,6)(4,7,17)(5,18,14)(10,12,13)(19,26,24)$
$C_6^4.D_6\wr C_2$ 3J $3$ $288$ not computed 3J 1A $(2,16,9)(3,10,6)(4,15,17)(5,18,14)(7,12,13)(21,25,23)$
$C_6^4.D_6\wr C_2$ 3K $3$ $576$ not computed 3K 1A $(1,11,8)(5,14,18)(6,12,17)(7,10,15)(19,26,24)(21,25,23)$
$C_6^4.D_6\wr C_2$ 3L $3$ $576$ not computed 3L 1A $(1,5,2)(3,17,7)(4,12,10)(6,15,13)(8,14,16)(9,11,18)(20,23,25)$
$C_6^4.D_6\wr C_2$ 3M $3$ $2304$ not computed 3M 1A $(1,16,14)(2,5,11)(3,17,10)(4,12,15)(6,7,13)(8,9,18)(20,25,21)(22,26,24)$
$C_6^4.D_6\wr C_2$ 3N $3$ $2304$ not computed 3N 1A $(1,11,8)(2,16,9)(3,7,6)(4,10,17)(12,13,15)(20,21,25)(22,26,24)$
$C_6^4.D_6\wr C_2$ 4A $4$ $36$ $C_6^2.D_6^2.C_2$ 2A 4A $(6,15)(7,17)(10,12)(19,26,24,22)$
$C_6^4.D_6\wr C_2$ 4B $4$ $36$ $C_6^2.D_6^2.C_2$ 2A 4B $(5,18)(8,11)(9,16)(20,23,25,21)$
$C_6^4.D_6\wr C_2$ 4C $4$ $108$ not computed 2A 4C $(6,15)(7,17)(10,12)(19,26,24,22)(20,21)(23,25)$
$C_6^4.D_6\wr C_2$ 4D $4$ $108$ not computed 2A 4D $(5,18)(8,11)(9,16)(19,22)(20,23,25,21)(24,26)$
$C_6^4.D_6\wr C_2$ 4E $4$ $324$ not computed 2B 4E $(1,5)(6,15)(7,17)(8,14)(10,12)(11,18)(19,22,24,26)(20,21,23,25)$
$C_6^4.D_6\wr C_2$ 4F $4$ $324$ not computed 2B 4F $(3,13)(5,18)(8,11)(9,16)(10,15)(12,17)(19,26,22,24)(20,23,25,21)$
$C_6^4.D_6\wr C_2$ 4G $4$ $324$ not computed 2A 4G $(1,11)(3,15)(4,10)(6,17)(7,13)(9,16)(14,18)(20,23,21,25)$
$C_6^4.D_6\wr C_2$ 4H $4$ $324$ not computed 2A 4H $(1,18)(2,16)(3,6)(4,17)(5,11)(8,14)(12,13)(19,24,26,22)$
$C_6^4.D_6\wr C_2$ 4I $4$ $648$ not computed 2B 4I $(1,11)(2,9)(5,14)(6,15)(7,17)(10,12)(19,26,24,22)(20,23,25,21)$
$C_6^4.D_6\wr C_2$ 4J $4$ $648$ not computed 2A 4J $(2,5)(4,13)(6,17)(7,10)(9,18)(14,16)(19,22)(20,23,21,25)$
$C_6^4.D_6\wr C_2$ 4K $4$ $648$ not computed 2A 4K $(1,11)(2,9)(3,17)(4,12)(5,14)(6,13)(20,21,25,23)(22,26)$
$C_6^4.D_6\wr C_2$ 4L $4$ $648$ not computed 2A 4L $(1,8)(2,16)(4,13)(6,12)(10,15)(14,18)(19,24)(20,23,25,21)$
$C_6^4.D_6\wr C_2$ 4M $4$ $648$ not computed 2A 4M $(2,18)(3,7)(4,10)(5,16)(9,14)(13,15)(19,22,24,26)(20,23)$
$C_6^4.D_6\wr C_2$ 4N $4$ $972$ not computed 2A 4N $(1,14)(3,4)(5,8)(7,10)(9,16)(11,18)(12,17)(19,22,24,26)(20,25)(21,23)$
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