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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 | ||||||
| $C_5:F_5$ | 1A | $1$ | $1$ | $C_5:F_5$ | 1A | 1A | $1$ |