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Results (15 matches)
Download displayed columns for resultsElements of the group are displayed as permutations of degree 12.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |||
|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 11P | ||||||
| $M_{12}$ | 1A | $1$ | $1$ | $M_{12}$ | 1A | 1A | 1A | 1A | $()$ |
| $M_{12}$ | 2A | $2$ | $396$ | $C_2\times S_5$ | 1A | 2A | 2A | 2A | $(1,6)(2,12)(3,11)(4,8)(5,10)(7,9)$ |
| $M_{12}$ | 2B | $2$ | $495$ | $Q_8:S_4$ | 1A | 2B | 2B | 2B | $(1,10)(3,7)(6,11)(8,12)$ |
| $M_{12}$ | 3A | $3$ | $1760$ | $C_3^2:S_3$ | 3A | 1A | 3A | 3A | $(1,10,11)(3,4,5)(6,12,8)$ |
| $M_{12}$ | 3B | $3$ | $2640$ | $C_3\times A_4$ | 3B | 1A | 3B | 3B | $(1,11,5)(2,3,9)(4,10,12)(6,8,7)$ |
| $M_{12}$ | 4A | $4$ | $2970$ | $C_4\wr C_2$ | 2B | 4A | 4A | 4A | $(1,11,10,6)(2,5)(3,8,7,12)(4,9)$ |
| $M_{12}$ | 4B | $4$ | $2970$ | $C_4\wr C_2$ | 2B | 4B | 4B | 4B | $(1,5,11,8)(2,7,9,10)$ |
| $M_{12}$ | 5A | $5$ | $9504$ | $C_{10}$ | 5A | 5A | 1A | 5A | $(2,8,9,11,5)(3,10,12,4,7)$ |
| $M_{12}$ | 6A | $6$ | $7920$ | $C_2\times C_6$ | 3B | 2A | 6A | 6A | $(1,4,11,10,5,12)(2,7,3,6,9,8)$ |
| $M_{12}$ | 6B | $6$ | $15840$ | $C_6$ | 3A | 2B | 6B | 6B | $(1,11,10)(3,6,4,12,5,8)(7,9)$ |
| $M_{12}$ | 8A | $8$ | $11880$ | $C_8$ | 4A | 8A | 8A | 8A | $(1,8,11,7,10,12,6,3)(2,4,5,9)$ |
| $M_{12}$ | 8B | $8$ | $11880$ | $C_8$ | 4B | 8B | 8B | 8B | $(1,9,5,10,11,2,8,7)(3,12)$ |
| $M_{12}$ | 10A | $10$ | $9504$ | $C_{10}$ | 5A | 10A | 2A | 10A | $(1,6)(2,3,8,10,9,12,11,4,5,7)$ |
| $M_{12}$ | 11A1 | $11$ | $8640$ | $C_{11}$ | 11A-1 | 11A1 | 11A1 | 1A | $(1,6,11,8,5,9,2,3,10,4,12)$ |
| $M_{12}$ | 11A-1 | $11$ | $8640$ | $C_{11}$ | 11A1 | 11A-1 | 11A-1 | 1A | $(1,12,4,10,3,2,9,5,8,11,6)$ |