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Results (13 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 | ||||||
| $S_6:C_2$ | 1A | $1$ | $1$ | $S_6:C_2$ | 1A | 1A | 1A | $()$ |
| $S_6:C_2$ | 2A | $2$ | $30$ | $C_2\times S_4$ | 1A | 2A | 2A | $(2,8)(3,9)(4,10)$ |
| $S_6:C_2$ | 2B | $2$ | $36$ | $C_2\times F_5$ | 1A | 2B | 2B | $(1,3)(2,5)(4,8)(6,7)(9,10)$ |
| $S_6:C_2$ | 2C | $2$ | $45$ | $D_8:C_2$ | 1A | 2C | 2C | $(2,8)(3,10)(4,9)(5,6)$ |
| $S_6:C_2$ | 3A | $3$ | $80$ | $C_3\times S_3$ | 3A | 1A | 3A | $(1,6,7)(2,3,10)(4,8,9)$ |
| $S_6:C_2$ | 4A | $4$ | $90$ | $D_4:C_2$ | 2C | 4A | 4A | $(1,7)(2,6,8,5)(3,4,10,9)$ |
| $S_6:C_2$ | 4B | $4$ | $90$ | $\OD_{16}$ | 2C | 4B | 4B | $(1,4,2,3)(5,6,10,9)$ |
| $S_6:C_2$ | 4C | $4$ | $180$ | $C_2\times C_4$ | 2C | 4C | 4C | $(1,9,3,2)(4,5,6,8)$ |
| $S_6:C_2$ | 5A | $5$ | $144$ | $C_{10}$ | 5A | 5A | 1A | $(1,8,6,9,5)(2,3,4,7,10)$ |
| $S_6:C_2$ | 6A | $6$ | $240$ | $C_6$ | 3A | 2A | 6A | $(1,7,6)(2,4,3,8,10,9)$ |
| $S_6:C_2$ | 8A | $8$ | $180$ | $C_8$ | 4B | 8A | 8A | $(1,9,4,5,2,6,3,10)(7,8)$ |
| $S_6:C_2$ | 8B | $8$ | $180$ | $C_8$ | 4B | 8B | 8B | $(1,6,9,7,10,3,8,2)$ |
| $S_6:C_2$ | 10A | $10$ | $144$ | $C_{10}$ | 5A | 10A | 2B | $(1,10,8,2,6,3,9,4,5,7)$ |