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Results (18 matches)
Download displayed columns for resultsElements of the group are displayed as permutations of degree 10.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||
|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | ||||||
| $C_2^4:S_5$ | 1A | $1$ | $1$ | $C_2^4:S_5$ | 1A | 1A | 1A | $()$ |
| $C_2^4:S_5$ | 2A | $2$ | $5$ | $C_2\wr S_4$ | 1A | 2A | 2A | $(1,4)(2,6)(3,7)(8,9)$ |
| $C_2^4:S_5$ | 2B | $2$ | $10$ | $D_4\times S_4$ | 1A | 2B | 2B | $(1,4)(3,7)$ |
| $C_2^4:S_5$ | 2C | $2$ | $20$ | $C_2^2\times S_4$ | 1A | 2C | 2C | $(2,8)(6,9)$ |
| $C_2^4:S_5$ | 2D | $2$ | $60$ | $C_2^2\wr C_2$ | 1A | 2D | 2D | $(1,9)(2,10)(4,8)(5,6)$ |
| $C_2^4:S_5$ | 2E | $2$ | $60$ | $C_2^2\times D_4$ | 1A | 2E | 2E | $(1,4)(2,9)(5,10)(6,8)$ |
| $C_2^4:S_5$ | 3A | $3$ | $80$ | $C_3\times D_4$ | 3A | 1A | 3A | $(2,8,5)(6,9,10)$ |
| $C_2^4:S_5$ | 4A | $4$ | $20$ | $C_4\times S_4$ | 2B | 4A | 4A | $(1,3,4,7)(2,6)(5,10)(8,9)$ |
| $C_2^4:S_5$ | 4B | $4$ | $60$ | $C_4\times D_4$ | 2B | 4B | 4B | $(1,8,4,9)(5,10)$ |
| $C_2^4:S_5$ | 4C | $4$ | $60$ | $C_4\wr C_2$ | 2A | 4C | 4C | $(1,10,4,5)(2,3,6,7)$ |
| $C_2^4:S_5$ | 4D | $4$ | $120$ | $C_2^2\times C_4$ | 2B | 4D | 4D | $(1,9,4,8)(2,6)(3,10)(5,7)$ |
| $C_2^4:S_5$ | 4E | $4$ | $240$ | $C_2\times C_4$ | 2D | 4E | 4E | $(1,10,9,2)(4,5,8,6)$ |
| $C_2^4:S_5$ | 5A | $5$ | $384$ | $C_5$ | 5A | 5A | 1A | $(1,9,6,10,3)(2,5,7,4,8)$ |
| $C_2^4:S_5$ | 6A | $6$ | $80$ | $C_3\times D_4$ | 3A | 2B | 6A | $(1,4)(2,5,8)(3,7)(6,10,9)$ |
| $C_2^4:S_5$ | 6B | $6$ | $160$ | $C_2\times C_6$ | 3A | 2C | 6B | $(1,10,3)(2,8)(4,5,7)(6,9)$ |
| $C_2^4:S_5$ | 6C | $6$ | $160$ | $C_2\times C_6$ | 3A | 2A | 6C | $(1,4)(2,7,8,6,3,9)$ |
| $C_2^4:S_5$ | 8A | $8$ | $240$ | $C_8$ | 4C | 8A | 8A | $(1,3,10,6,4,7,5,2)(8,9)$ |
| $C_2^4:S_5$ | 12A | $12$ | $160$ | $C_{12}$ | 6A | 4A | 12A | $(1,7,4,3)(2,9,5,6,8,10)$ |