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Results (21 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 | ||||||
| $C_3^2:S_4$ | 1A | $1$ | $1$ | $C_3^2:S_4$ | 1A | 1A | $()$ |
| $C_3^2:S_4$ | 2A | $2$ | $3$ | $C_6^2:C_2$ | 1A | 2A | $(1,2)(3,4)$ |
| $C_3^2:S_4$ | 2B | $2$ | $54$ | $C_2^2$ | 1A | 2B | $(1,4)(5,7)(8,9)$ |
| $C_3^2:S_4$ | 3A | $3$ | $2$ | $C_3^2\times A_4$ | 3A | 1A | $(8,10,9)$ |
| $C_3^2:S_4$ | 3B | $3$ | $2$ | $C_3^2\times A_4$ | 3B | 1A | $(5,7,6)$ |
| $C_3^2:S_4$ | 3C | $3$ | $2$ | $C_3^2\times A_4$ | 3C | 1A | $(5,7,6)(8,10,9)$ |
| $C_3^2:S_4$ | 3D | $3$ | $2$ | $C_3^2\times A_4$ | 3D | 1A | $(5,7,6)(8,9,10)$ |
| $C_3^2:S_4$ | 3E | $3$ | $8$ | $C_3^3$ | 3E | 1A | $(2,3,4)$ |
| $C_3^2:S_4$ | 3F | $3$ | $8$ | $C_3^3$ | 3F | 1A | $(2,3,4)(8,9,10)$ |
| $C_3^2:S_4$ | 3G | $3$ | $8$ | $C_3^3$ | 3G | 1A | $(2,3,4)(8,10,9)$ |
| $C_3^2:S_4$ | 3H | $3$ | $8$ | $C_3^3$ | 3H | 1A | $(2,3,4)(5,6,7)$ |
| $C_3^2:S_4$ | 3I | $3$ | $8$ | $C_3^3$ | 3I | 1A | $(2,3,4)(5,6,7)(8,9,10)$ |
| $C_3^2:S_4$ | 3J | $3$ | $8$ | $C_3^3$ | 3J | 1A | $(2,3,4)(5,6,7)(8,10,9)$ |
| $C_3^2:S_4$ | 3K | $3$ | $8$ | $C_3^3$ | 3K | 1A | $(2,3,4)(5,7,6)$ |
| $C_3^2:S_4$ | 3L | $3$ | $8$ | $C_3^3$ | 3L | 1A | $(2,3,4)(5,7,6)(8,9,10)$ |
| $C_3^2:S_4$ | 3M | $3$ | $8$ | $C_3^3$ | 3M | 1A | $(2,3,4)(5,7,6)(8,10,9)$ |
| $C_3^2:S_4$ | 4A | $4$ | $54$ | $C_4$ | 2A | 4A | $(1,3,4,2)(6,7)(8,10)$ |
| $C_3^2:S_4$ | 6A | $6$ | $6$ | $C_6^2$ | 3A | 2A | $(1,2)(3,4)(8,9,10)$ |
| $C_3^2:S_4$ | 6B | $6$ | $6$ | $C_6^2$ | 3B | 2A | $(1,2)(3,4)(5,6,7)$ |
| $C_3^2:S_4$ | 6C | $6$ | $6$ | $C_6^2$ | 3C | 2A | $(1,2)(3,4)(5,6,7)(8,9,10)$ |
| $C_3^2:S_4$ | 6D | $6$ | $6$ | $C_6^2$ | 3D | 2A | $(1,2)(3,4)(5,6,7)(8,10,9)$ |