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Results (14 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid b^{8}=1, a^{4}=b^{4}, b^{a}=b^{7} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $C_8.C_4$ | 1A | $1$ | $1$ | $C_8.C_4$ | 1A | $1$ |
| $C_8.C_4$ | 2A | $2$ | $1$ | $C_8.C_4$ | 1A | $b^{4}$ |
| $C_8.C_4$ | 2B | $2$ | $2$ | $C_2\times C_8$ | 1A | $a^{2}b^{2}$ |
| $C_8.C_4$ | 4A1 | $4$ | $1$ | $C_8.C_4$ | 2A | $a^{2}$ |
| $C_8.C_4$ | 4A-1 | $4$ | $1$ | $C_8.C_4$ | 2A | $a^{2}b^{4}$ |
| $C_8.C_4$ | 4B | $4$ | $2$ | $C_2\times C_8$ | 2A | $b^{2}$ |
| $C_8.C_4$ | 8A1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $b$ |
| $C_8.C_4$ | 8A3 | $8$ | $2$ | $C_2\times C_8$ | 4B | $b^{5}$ |
| $C_8.C_4$ | 8B1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $a^{2}b$ |
| $C_8.C_4$ | 8B-1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $a^{2}b^{5}$ |
| $C_8.C_4$ | 8C1 | $8$ | $4$ | $C_8$ | 4A1 | $a$ |
| $C_8.C_4$ | 8C-1 | $8$ | $4$ | $C_8$ | 4A-1 | $a^{3}$ |
| $C_8.C_4$ | 8D1 | $8$ | $4$ | $C_8$ | 4A1 | $ab$ |
| $C_8.C_4$ | 8D-1 | $8$ | $4$ | $C_8$ | 4A-1 | $a^{3}b$ |