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Results (48 matches)
Download displayed columns for resultsElements of the group are displayed as permutations of degree 27.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 3P | ||||||
| $C_3^2\wr C_3:Q_8$ | 1A | $1$ | $1$ | $C_3^2\wr C_3:Q_8$ | 1A | 1A | $()$ |
| $C_3^2\wr C_3:Q_8$ | 2A | $2$ | $729$ | $C_3\times Q_8$ | 1A | 2A | $(1,2)(3,6)(4,8)(5,7)(10,14)(11,13)(12,18)(16,17)(19,24)(20,26)(21,22)(25,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3A | $3$ | $8$ | $C_3^2\wr C_3$ | 3A | 1A | $(1,3,8)(2,4,6)(5,7,9)(10,17,12)(11,15,13)(14,18,16)(19,21,26)(20,22,24)(23,25,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3B | $3$ | $24$ | $C_3^6$ | 3B | 1A | $(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3C | $3$ | $24$ | $C_3^6$ | 3C | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3D | $3$ | $24$ | $C_3^6$ | 3D | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,21,26)(20,22,24)(23,25,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3E | $3$ | $24$ | $C_3^6$ | 3E | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,22,25)(20,23,26)(21,24,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3F | $3$ | $24$ | $C_3^6$ | 3F | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,23,24)(20,21,25)(22,26,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3G | $3$ | $24$ | $C_3^6$ | 3G | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,24,23)(20,25,21)(22,27,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3H | $3$ | $24$ | $C_3^6$ | 3H | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,25,22)(20,26,23)(21,27,24)$ |
| $C_3^2\wr C_3:Q_8$ | 3I | $3$ | $24$ | $C_3^6$ | 3I | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,26,21)(20,24,22)(23,27,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3J | $3$ | $24$ | $C_3^6$ | 3J | 1A | $(10,11,18)(12,13,14)(15,16,17)(19,27,20)(21,23,22)(24,26,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3K | $3$ | $24$ | $C_3^6$ | 3K | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3L | $3$ | $24$ | $C_3^6$ | 3L | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,21,26)(20,22,24)(23,25,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3M | $3$ | $24$ | $C_3^6$ | 3M | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,22,25)(20,23,26)(21,24,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3N | $3$ | $24$ | $C_3^6$ | 3N | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,23,24)(20,21,25)(22,26,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3O | $3$ | $24$ | $C_3^6$ | 3O | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,24,23)(20,25,21)(22,27,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3P | $3$ | $24$ | $C_3^6$ | 3P | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,25,22)(20,26,23)(21,27,24)$ |
| $C_3^2\wr C_3:Q_8$ | 3Q | $3$ | $24$ | $C_3^6$ | 3Q | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,26,21)(20,24,22)(23,27,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3R | $3$ | $24$ | $C_3^6$ | 3R | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3S | $3$ | $24$ | $C_3^6$ | 3S | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,22,25)(20,23,26)(21,24,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3T | $3$ | $24$ | $C_3^6$ | 3T | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,23,24)(20,21,25)(22,26,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3U | $3$ | $24$ | $C_3^6$ | 3U | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,24,23)(20,25,21)(22,27,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3V | $3$ | $24$ | $C_3^6$ | 3V | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,25,22)(20,26,23)(21,27,24)$ |
| $C_3^2\wr C_3:Q_8$ | 3W | $3$ | $24$ | $C_3^6$ | 3W | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,26,21)(20,24,22)(23,27,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3X | $3$ | $24$ | $C_3^6$ | 3X | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3Y | $3$ | $24$ | $C_3^6$ | 3Y | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,23,24)(20,21,25)(22,26,27)$ |
| $C_3^2\wr C_3:Q_8$ | 3Z | $3$ | $24$ | $C_3^6$ | 3Z | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,25,22)(20,26,23)(21,27,24)$ |
| $C_3^2\wr C_3:Q_8$ | 3AA | $3$ | $24$ | $C_3^6$ | 3AA | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,26,21)(20,24,22)(23,27,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3AB | $3$ | $24$ | $C_3^6$ | 3AB | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,20,27)(21,22,23)(24,25,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3AC | $3$ | $24$ | $C_3^6$ | 3AC | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,24,23)(20,25,21)(22,27,26)$ |
| $C_3^2\wr C_3:Q_8$ | 3AD | $3$ | $24$ | $C_3^6$ | 3AD | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,25,22)(20,26,23)(21,27,24)$ |
| $C_3^2\wr C_3:Q_8$ | 3AE | $3$ | $24$ | $C_3^6$ | 3AE | 1A | $(1,2,9)(3,4,5)(6,7,8)(10,15,14)(11,16,12)(13,18,17)(19,26,21)(20,24,22)(23,27,25)$ |
| $C_3^2\wr C_3:Q_8$ | 3AF1 | $3$ | $81$ | $C_3^3:Q_8$ | 3AF-1 | 1A | $(1,21,17)(2,22,16)(3,26,12)(4,24,14)(5,25,13)(6,20,18)(7,27,11)(8,19,10)(9,23,15)$ |
| $C_3^2\wr C_3:Q_8$ | 3AF-1 | $3$ | $81$ | $C_3^3:Q_8$ | 3AF1 | 1A | $(1,17,21)(2,16,22)(3,12,26)(4,14,24)(5,13,25)(6,18,20)(7,11,27)(8,10,19)(9,15,23)$ |
| $C_3^2\wr C_3:Q_8$ | 4A | $4$ | $1458$ | $C_{12}$ | 2A | 4A | $(1,4,2,8)(3,7,6,5)(10,17,14,16)(11,18,13,12)(19,21,24,22)(20,25,26,27)$ |
| $C_3^2\wr C_3:Q_8$ | 4B | $4$ | $1458$ | $C_{12}$ | 2A | 4B | $(1,2,4,3)(5,8,9,6)(10,18,16,17)(11,14,15,12)(19,25,21,24)(20,27,23,22)$ |
| $C_3^2\wr C_3:Q_8$ | 4C | $4$ | $1458$ | $C_{12}$ | 2A | 4C | $(2,4,9,7)(3,6,8,5)(10,11,14,13)(12,16,18,17)(19,27,24,25)(20,21,26,22)$ |
| $C_3^2\wr C_3:Q_8$ | 6A1 | $6$ | $729$ | $C_3\times Q_8$ | 3AF1 | 2A | $(1,16,21,2,17,22)(3,18,26,6,12,20)(4,10,24,8,14,19)(5,11,25,7,13,27)(9,15,23)$ |
| $C_3^2\wr C_3:Q_8$ | 6A-1 | $6$ | $729$ | $C_3\times Q_8$ | 3AF-1 | 2A | $(1,22,17,2,21,16)(3,20,12,6,26,18)(4,19,14,8,24,10)(5,27,13,7,25,11)(9,23,15)$ |
| $C_3^2\wr C_3:Q_8$ | 9A1 | $9$ | $648$ | $C_3\times C_9$ | 9A-1 | 3A | $(1,25,14,3,27,18,8,23,16)(2,26,13,4,19,11,6,21,15)(5,20,10,7,22,17,9,24,12)$ |
| $C_3^2\wr C_3:Q_8$ | 9A-1 | $9$ | $648$ | $C_3\times C_9$ | 9A1 | 3A | $(1,16,23,8,18,27,3,14,25)(2,15,21,6,11,19,4,13,26)(5,12,24,9,17,22,7,10,20)$ |
| $C_3^2\wr C_3:Q_8$ | 12A1 | $12$ | $1458$ | $C_{12}$ | 6A1 | 4A | $(1,19,16,4,21,10,2,24,17,8,22,14)(3,25,18,7,26,13,6,27,12,5,20,11)(9,23,15)$ |
| $C_3^2\wr C_3:Q_8$ | 12A-1 | $12$ | $1458$ | $C_{12}$ | 6A-1 | 4A | $(1,14,22,8,17,24,2,10,21,4,16,19)(3,11,20,5,12,27,6,13,26,7,18,25)(9,15,23)$ |
| $C_3^2\wr C_3:Q_8$ | 12B1 | $12$ | $1458$ | $C_{12}$ | 6A-1 | 4B | $(1,17,23,2,10,22,4,18,20,3,16,27)(5,14,19,8,15,25,9,12,21,6,11,24)(7,13,26)$ |
| $C_3^2\wr C_3:Q_8$ | 12B-1 | $12$ | $1458$ | $C_{12}$ | 6A1 | 4B | $(1,27,16,3,20,18,4,22,10,2,23,17)(5,24,11,6,21,12,9,25,15,8,19,14)(7,26,13)$ |
| $C_3^2\wr C_3:Q_8$ | 12C1 | $12$ | $1458$ | $C_{12}$ | 6A-1 | 4C | $(1,15,23)(2,18,22,4,17,20,9,12,21,7,16,26)(3,14,27,6,13,24,8,10,25,5,11,19)$ |
| $C_3^2\wr C_3:Q_8$ | 12C-1 | $12$ | $1458$ | $C_{12}$ | 6A1 | 4C | $(1,23,15)(2,26,16,7,21,12,9,20,17,4,22,18)(3,19,11,5,25,10,8,24,13,6,27,14)$ |