↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 927 matches)

Next   displayed columns for results

Elements of the group are displayed as permutations of degree 27.

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_3^8.D_6$ 1A $1$ $1$ $C_3^8.D_6$ 1A 1A $()$
$C_3^8.D_6$ 2A $2$ $9$ not computed 1A 2A $(1,3)(2,6)(4,8)(5,10)(7,12)(9,14)(11,16)(13,15)(17,18)$
$C_3^8.D_6$ 2B $2$ $243$ not computed 1A 2B $(4,9)(7,13)(8,14)(11,17)(12,15)(16,18)(20,22)(21,26)(23,27)(24,25)$
$C_3^8.D_6$ 2C $2$ $243$ not computed 1A 2C $(1,3)(2,6)(4,14)(5,10)(7,15)(8,9)(11,18)(12,13)(16,17)(20,22)(21,26)(23,27)(24,25)$
$C_3^8.D_6$ 3A1 $3$ $1$ $C_3^8.D_6$ 3A-1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,17,13)(14,18,15)$
$C_3^8.D_6$ 3A-1 $3$ $1$ $C_3^8.D_6$ 3A1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,13,17)(14,15,18)$
$C_3^8.D_6$ 3B $3$ $2$ $C_3^8.C_6$ 3B 1A $(19,22,20)(21,23,25)(24,27,26)$
$C_3^8.D_6$ 3C $3$ $2$ $C_3^7.C_3.C_6$ 3C 1A $(1,2,5)(3,10,6)(4,7,11)(8,16,12)(9,13,17)(14,18,15)$
$C_3^8.D_6$ 3D1 $3$ $2$ $C_3^8.C_6$ 3D-1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,17,13)(14,18,15)(19,22,20)(21,23,25)(24,27,26)$
$C_3^8.D_6$ 3D-1 $3$ $2$ $C_3^8.C_6$ 3D1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,13,17)(14,15,18)(19,20,22)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3E1 $3$ $2$ $C_3^7.C_3.C_6$ 3E-1 1A $(3,10,6)(8,16,12)(14,18,15)$
$C_3^8.D_6$ 3E-1 $3$ $2$ $C_3^7.C_3.C_6$ 3E1 1A $(3,6,10)(8,12,16)(14,15,18)$
$C_3^8.D_6$ 3F1 $3$ $3$ $C_3^8.C_2^2$ 3F-1 1A $(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3F-1 $3$ $3$ $C_3^8.C_2^2$ 3F1 1A $(21,23,25)(24,26,27)$
$C_3^8.D_6$ 3G1 $3$ $3$ $C_3^8.C_2^2$ 3G-1 1A $(9,17,13)(14,18,15)$
$C_3^8.D_6$ 3G-1 $3$ $3$ $C_3^8.C_2^2$ 3G1 1A $(9,13,17)(14,15,18)$
$C_3^8.D_6$ 3H1 $3$ $3$ $C_3^8.C_2^2$ 3H-1 1A $(9,17,13)(14,18,15)(19,22,20)(21,25,23)$
$C_3^8.D_6$ 3H-1 $3$ $3$ $C_3^8.C_2^2$ 3H1 1A $(9,13,17)(14,15,18)(19,20,22)(21,23,25)$
$C_3^8.D_6$ 3I1 $3$ $3$ $C_3^8.C_2^2$ 3I-1 1A $(9,17,13)(14,18,15)(19,20,22)(21,23,25)$
$C_3^8.D_6$ 3I-1 $3$ $3$ $C_3^8.C_2^2$ 3I1 1A $(9,13,17)(14,15,18)(19,22,20)(21,25,23)$
$C_3^8.D_6$ 3J1 $3$ $3$ $C_3^8.C_2^2$ 3J-1 1A $(4,7,11)(8,12,16)(9,13,17)(14,15,18)$
$C_3^8.D_6$ 3J-1 $3$ $3$ $C_3^8.C_2^2$ 3J1 1A $(4,11,7)(8,16,12)(9,17,13)(14,18,15)$
$C_3^8.D_6$ 3K1 $3$ $3$ $C_3^8.C_2^2$ 3K-1 1A $(4,7,11)(8,12,16)(9,13,17)(14,15,18)(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3K-1 $3$ $3$ $C_3^8.C_2^2$ 3K1 1A $(4,11,7)(8,16,12)(9,17,13)(14,18,15)(21,23,25)(24,26,27)$
$C_3^8.D_6$ 3L1 $3$ $3$ $C_3^8.C_2^2$ 3L-1 1A $(4,7,11)(8,12,16)(9,13,17)(14,15,18)(21,23,25)(24,26,27)$
$C_3^8.D_6$ 3L-1 $3$ $3$ $C_3^8.C_2^2$ 3L1 1A $(4,11,7)(8,16,12)(9,17,13)(14,18,15)(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3M1 $3$ $3$ $C_3^8.C_2^2$ 3M-1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,13,17)(14,15,18)(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3M-1 $3$ $3$ $C_3^8.C_2^2$ 3M1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,17,13)(14,18,15)(21,23,25)(24,26,27)$
$C_3^8.D_6$ 3N1 $3$ $3$ $C_3^8.C_2^2$ 3N-1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,13,17)(14,15,18)(21,23,25)(24,26,27)$
$C_3^8.D_6$ 3N-1 $3$ $3$ $C_3^8.C_2^2$ 3N1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,17,13)(14,18,15)(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3O1 $3$ $3$ $C_3^8.C_2^2$ 3O-1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,17,13)(14,18,15)$
$C_3^8.D_6$ 3O-1 $3$ $3$ $C_3^8.C_2^2$ 3O1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,13,17)(14,15,18)$
$C_3^8.D_6$ 3P1 $3$ $3$ $C_3^8.C_2^2$ 3P-1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,22,20)(21,25,23)$
$C_3^8.D_6$ 3P-1 $3$ $3$ $C_3^8.C_2^2$ 3P1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,13,17)(14,15,18)(19,20,22)(21,23,25)$
$C_3^8.D_6$ 3Q1 $3$ $3$ $C_3^8.C_2^2$ 3Q-1 1A $(1,2,5)(3,6,10)(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,20,22)(21,23,25)$
$C_3^8.D_6$ 3Q-1 $3$ $3$ $C_3^8.C_2^2$ 3Q1 1A $(1,5,2)(3,10,6)(4,11,7)(8,16,12)(9,13,17)(14,15,18)(19,22,20)(21,25,23)$
$C_3^8.D_6$ 3R $3$ $4$ $C_3^8.C_3$ 3R 1A $(1,2,5)(3,10,6)(4,7,11)(8,16,12)(9,13,17)(14,18,15)(19,20,22)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3S1 $3$ $4$ $C_3^8.C_3$ 3S-1 1A $(3,6,10)(8,12,16)(14,15,18)(19,20,22)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3S-1 $3$ $4$ $C_3^8.C_3$ 3S1 1A $(3,10,6)(8,16,12)(14,18,15)(19,20,22)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3T $3$ $6$ $C_3^8.C_2$ 3T 1A $(24,27,26)$
$C_3^8.D_6$ 3U $3$ $6$ $C_3^8.C_2$ 3U 1A $(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3V $3$ $6$ $C_3^8.C_2$ 3V 1A $(19,22,20)(21,25,23)(24,27,26)$
$C_3^8.D_6$ 3W $3$ $6$ $C_3^8.C_2$ 3W 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)$
$C_3^8.D_6$ 3X $3$ $6$ $C_3^8.C_2$ 3X 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3Y $3$ $6$ $C_3^8.C_2$ 3Y 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(21,23,25)(24,27,26)$
$C_3^8.D_6$ 3Z $3$ $6$ $C_3^8.C_2$ 3Z 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,22,20)$
$C_3^8.D_6$ 3AA $3$ $6$ $C_3^8.C_2$ 3AA 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,22,20)(21,25,23)(24,26,27)$
$C_3^8.D_6$ 3AB $3$ $6$ $C_3^8.C_2$ 3AB 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,22,20)(21,23,25)(24,27,26)$
$C_3^8.D_6$ 3AC $3$ $6$ $C_3^8.C_2$ 3AC 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,20,22)$
$C_3^8.D_6$ 3AD $3$ $6$ $C_3^8.C_2$ 3AD 1A $(4,7,11)(8,12,16)(9,17,13)(14,18,15)(19,20,22)(21,25,23)(24,26,27)$
Next   displayed columns for results