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Results (7 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{8}=1, b^{a}=b^{3} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $\SD_{16}$ | 1A | $1$ | $1$ | $\SD_{16}$ | 1A | $1$ |
| $\SD_{16}$ | 2A | $2$ | $1$ | $\SD_{16}$ | 1A | $b^{4}$ |
| $\SD_{16}$ | 2B | $2$ | $4$ | $C_2^2$ | 1A | $a$ |
| $\SD_{16}$ | 4A | $4$ | $2$ | $C_8$ | 2A | $b^{2}$ |
| $\SD_{16}$ | 4B | $4$ | $4$ | $C_4$ | 2A | $ab$ |
| $\SD_{16}$ | 8A1 | $8$ | $2$ | $C_8$ | 4A | $b$ |
| $\SD_{16}$ | 8A-1 | $8$ | $2$ | $C_8$ | 4A | $b^{5}$ |