Refine search
Results (13 matches)
Download displayed columns for resultsElements of the group are displayed as permutations of degree 8.
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $C_2\wr C_4$ | 1A | $1$ | $1$ | $C_2\wr C_4$ | 1A | $()$ |
| $C_2\wr C_4$ | 2A | $2$ | $1$ | $C_2\wr C_4$ | 1A | $(1,2)(3,4)(5,6)(7,8)$ |
| $C_2\wr C_4$ | 2B | $2$ | $2$ | $C_2^2\wr C_2$ | 1A | $(5,6)(7,8)$ |
| $C_2\wr C_4$ | 2C | $2$ | $4$ | $C_2^4$ | 1A | $(7,8)$ |
| $C_2\wr C_4$ | 2D | $2$ | $4$ | $C_2^4$ | 1A | $(3,4)(7,8)$ |
| $C_2\wr C_4$ | 2E | $2$ | $4$ | $C_2^4$ | 1A | $(3,4)(5,6)(7,8)$ |
| $C_2\wr C_4$ | 2F | $2$ | $4$ | $C_2^2:C_4$ | 1A | $(1,3)(2,4)(5,7)(6,8)$ |
| $C_2\wr C_4$ | 4A | $4$ | $4$ | $\OD_{16}$ | 2A | $(1,3,2,4)(5,7,6,8)$ |
| $C_2\wr C_4$ | 4B | $4$ | $8$ | $C_2\times C_4$ | 2B | $(1,3)(2,4)(5,7,6,8)$ |
| $C_2\wr C_4$ | 4C1 | $4$ | $8$ | $C_2\times C_4$ | 2F | $(1,5,3,7)(2,6,4,8)$ |
| $C_2\wr C_4$ | 4C-1 | $4$ | $8$ | $C_2\times C_4$ | 2F | $(1,7,3,5)(2,8,4,6)$ |
| $C_2\wr C_4$ | 8A1 | $8$ | $8$ | $C_8$ | 4A | $(1,5,3,7,2,6,4,8)$ |
| $C_2\wr C_4$ | 8A-1 | $8$ | $8$ | $C_8$ | 4A | $(1,7,4,6,2,8,3,5)$ |