Refine search
Results (12 matches)
Download displayed columns for resultsElements of the group are displayed as permutations of degree 22.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 7P | 11P | ||||||
| $M_{22}$ | 1A | $1$ | $1$ | $M_{22}$ | 1A | 1A | 1A | 1A | 1A | $()$ |
| $M_{22}$ | 2A | $2$ | $1155$ | $C_2^4:S_4$ | 1A | 2A | 2A | 2A | 2A | $(1,15)(2,4)(3,9)(6,18)(7,16)(10,20)(13,21)(17,19)$ |
| $M_{22}$ | 3A | $3$ | $12320$ | $C_3\times A_4$ | 3A | 1A | 3A | 3A | 3A | $(1,6,3)(2,19,10)(4,17,20)(5,14,22)(8,12,11)(9,15,18)$ |
| $M_{22}$ | 4A | $4$ | $13860$ | $C_4\wr C_2$ | 2A | 4A | 4A | 4A | 4A | $(1,13,20,15)(2,19)(3,17,5,8)(4,11,22,6)(7,21)(9,12,18,14)$ |
| $M_{22}$ | 4B | $4$ | $27720$ | $C_4^2$ | 2A | 4B | 4B | 4B | 4B | $(1,20)(2,12,9,17)(3,15,14,16)(5,8)(7,18,22,13)(10,11,19,21)$ |
| $M_{22}$ | 5A | $5$ | $88704$ | $C_5$ | 5A | 5A | 1A | 5A | 5A | $(1,15,14,6,11)(2,20,8,13,9)(3,22,16,10,5)(7,12,21,19,17)$ |
| $M_{22}$ | 6A | $6$ | $36960$ | $C_2\times C_6$ | 3A | 2A | 6A | 6A | 6A | $(1,9,6,15,3,18)(2,20,19,4,10,17)(5,22,14)(7,16)(8,11,12)(13,21)$ |
| $M_{22}$ | 7A1 | $7$ | $63360$ | $C_7$ | 7A1 | 7A-1 | 7A-1 | 1A | 7A1 | $(1,18,20,8,15,3,21)(2,6,5,10,7,17,4)(9,11,14,13,22,16,19)$ |
| $M_{22}$ | 7A-1 | $7$ | $63360$ | $C_7$ | 7A-1 | 7A1 | 7A1 | 1A | 7A-1 | $(1,21,3,15,8,20,18)(2,4,17,7,10,5,6)(9,19,16,22,13,14,11)$ |
| $M_{22}$ | 8A | $8$ | $55440$ | $C_8$ | 4A | 8A | 8A | 8A | 8A | $(1,5,13,8,20,3,15,17)(2,7,19,21)(4,14,11,9,22,12,6,18)(10,16)$ |
| $M_{22}$ | 11A1 | $11$ | $40320$ | $C_{11}$ | 11A-1 | 11A1 | 11A1 | 11A-1 | 1A | $(1,8,20,14,21,18,6,15,12,4,17)(2,11,19,22,3,10,13,5,9,7,16)$ |
| $M_{22}$ | 11A-1 | $11$ | $40320$ | $C_{11}$ | 11A1 | 11A-1 | 11A-1 | 11A1 | 1A | $(1,17,4,12,15,6,18,21,14,20,8)(2,16,7,9,5,13,10,3,22,19,11)$ |