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Results (10 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{8}=b^{5}=1, b^{a}=b^{2} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 5P | ||||||
| $C_5:C_8$ | 1A | $1$ | $1$ | $C_5:C_8$ | 1A | 1A | $1$ |
| $C_5:C_8$ | 2A | $2$ | $1$ | $C_5:C_8$ | 1A | 2A | $a^{4}$ |
| $C_5:C_8$ | 4A1 | $4$ | $5$ | $C_8$ | 2A | 4A1 | $a^{2}$ |
| $C_5:C_8$ | 4A-1 | $4$ | $5$ | $C_8$ | 2A | 4A-1 | $a^{6}$ |
| $C_5:C_8$ | 5A | $5$ | $4$ | $C_{10}$ | 5A | 1A | $b^{2}$ |
| $C_5:C_8$ | 8A1 | $8$ | $5$ | $C_8$ | 4A1 | 8A-3 | $a$ |
| $C_5:C_8$ | 8A-1 | $8$ | $5$ | $C_8$ | 4A-1 | 8A3 | $a^{7}$ |
| $C_5:C_8$ | 8A3 | $8$ | $5$ | $C_8$ | 4A-1 | 8A-1 | $a^{3}$ |
| $C_5:C_8$ | 8A-3 | $8$ | $5$ | $C_8$ | 4A1 | 8A1 | $a^{5}$ |
| $C_5:C_8$ | 10A | $10$ | $4$ | $C_{10}$ | 5A | 2A | $a^{4}b$ |