Refine search
Results (displaying both matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{4}=b^{5}=c^{5}=[b,c]=1, b^{a}=b^{2}, c^{a}=c^{4} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 5P | ||||||
| $C_5:F_5$ | 4A1 | $4$ | $25$ | $C_4$ | 2A | 4A1 | $ab^{4}c^{4}$ |
| $C_5:F_5$ | 4A-1 | $4$ | $25$ | $C_4$ | 2A | 4A-1 | $a^{3}b^{3}c^{4}$ |