Refine search
Results (18 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{30}=1, b^{a}=b^{29} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||
|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | ||||||
| $D_{30}$ | 1A | $1$ | $1$ | $D_{30}$ | 1A | 1A | 1A | $1$ |
| $D_{30}$ | 2A | $2$ | $1$ | $D_{30}$ | 1A | 2A | 2A | $b^{15}$ |
| $D_{30}$ | 2B | $2$ | $15$ | $C_2^2$ | 1A | 2B | 2B | $ab^{24}$ |
| $D_{30}$ | 2C | $2$ | $15$ | $C_2^2$ | 1A | 2C | 2C | $ab^{5}$ |
| $D_{30}$ | 3A | $3$ | $2$ | $C_{30}$ | 3A | 1A | 3A | $b^{10}$ |
| $D_{30}$ | 5A1 | $5$ | $2$ | $C_{30}$ | 5A2 | 5A2 | 1A | $b^{6}$ |
| $D_{30}$ | 5A2 | $5$ | $2$ | $C_{30}$ | 5A1 | 5A1 | 1A | $b^{12}$ |
| $D_{30}$ | 6A | $6$ | $2$ | $C_{30}$ | 3A | 2A | 6A | $b^{5}$ |
| $D_{30}$ | 10A1 | $10$ | $2$ | $C_{30}$ | 5A1 | 10A3 | 2A | $b^{3}$ |
| $D_{30}$ | 10A3 | $10$ | $2$ | $C_{30}$ | 5A2 | 10A1 | 2A | $b^{9}$ |
| $D_{30}$ | 15A1 | $15$ | $2$ | $C_{30}$ | 15A2 | 5A1 | 3A | $b^{2}$ |
| $D_{30}$ | 15A2 | $15$ | $2$ | $C_{30}$ | 15A4 | 5A2 | 3A | $b^{4}$ |
| $D_{30}$ | 15A4 | $15$ | $2$ | $C_{30}$ | 15A7 | 5A1 | 3A | $b^{8}$ |
| $D_{30}$ | 15A7 | $15$ | $2$ | $C_{30}$ | 15A1 | 5A2 | 3A | $b^{14}$ |
| $D_{30}$ | 30A1 | $30$ | $2$ | $C_{30}$ | 15A1 | 10A1 | 6A | $b$ |
| $D_{30}$ | 30A7 | $30$ | $2$ | $C_{30}$ | 15A7 | 10A3 | 6A | $b^{7}$ |
| $D_{30}$ | 30A11 | $30$ | $2$ | $C_{30}$ | 15A4 | 10A1 | 6A | $b^{19}$ |
| $D_{30}$ | 30A13 | $30$ | $2$ | $C_{30}$ | 15A2 | 10A3 | 6A | $b^{13}$ |