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Results (11 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{16}=1, b^{a}=b^{15} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $D_{16}$ | 1A | $1$ | $1$ | $D_{16}$ | 1A | $1$ |
| $D_{16}$ | 2A | $2$ | $1$ | $D_{16}$ | 1A | $b^{8}$ |
| $D_{16}$ | 2B | $2$ | $8$ | $C_2^2$ | 1A | $ab^{3}$ |
| $D_{16}$ | 2C | $2$ | $8$ | $C_2^2$ | 1A | $ab^{8}$ |
| $D_{16}$ | 4A | $4$ | $2$ | $C_{16}$ | 2A | $b^{4}$ |
| $D_{16}$ | 8A1 | $8$ | $2$ | $C_{16}$ | 4A | $b^{2}$ |
| $D_{16}$ | 8A3 | $8$ | $2$ | $C_{16}$ | 4A | $b^{6}$ |
| $D_{16}$ | 16A1 | $16$ | $2$ | $C_{16}$ | 8A1 | $b$ |
| $D_{16}$ | 16A3 | $16$ | $2$ | $C_{16}$ | 8A3 | $b^{3}$ |
| $D_{16}$ | 16A5 | $16$ | $2$ | $C_{16}$ | 8A3 | $b^{5}$ |
| $D_{16}$ | 16A7 | $16$ | $2$ | $C_{16}$ | 8A1 | $b^{9}$ |