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Results (12 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{15}=1, b^{a}=b^{4} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||
|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | ||||||
| $C_3\times D_5$ | 1A | $1$ | $1$ | $C_3\times D_5$ | 1A | 1A | 1A | $1$ |
| $C_3\times D_5$ | 2A | $2$ | $5$ | $C_6$ | 1A | 2A | 2A | $ab^{6}$ |
| $C_3\times D_5$ | 3A1 | $3$ | $1$ | $C_3\times D_5$ | 3A-1 | 1A | 3A-1 | $b^{5}$ |
| $C_3\times D_5$ | 3A-1 | $3$ | $1$ | $C_3\times D_5$ | 3A1 | 1A | 3A1 | $b^{10}$ |
| $C_3\times D_5$ | 5A1 | $5$ | $2$ | $C_{15}$ | 5A2 | 5A2 | 1A | $b^{3}$ |
| $C_3\times D_5$ | 5A2 | $5$ | $2$ | $C_{15}$ | 5A1 | 5A1 | 1A | $b^{6}$ |
| $C_3\times D_5$ | 6A1 | $6$ | $5$ | $C_6$ | 3A1 | 2A | 6A-1 | $ab$ |
| $C_3\times D_5$ | 6A-1 | $6$ | $5$ | $C_6$ | 3A-1 | 2A | 6A1 | $ab^{2}$ |
| $C_3\times D_5$ | 15A1 | $15$ | $2$ | $C_{15}$ | 15A2 | 5A1 | 3A1 | $b$ |
| $C_3\times D_5$ | 15A-1 | $15$ | $2$ | $C_{15}$ | 15A-2 | 5A1 | 3A-1 | $b^{11}$ |
| $C_3\times D_5$ | 15A2 | $15$ | $2$ | $C_{15}$ | 15A1 | 5A2 | 3A-1 | $b^{2}$ |
| $C_3\times D_5$ | 15A-2 | $15$ | $2$ | $C_{15}$ | 15A-1 | 5A2 | 3A1 | $b^{7}$ |