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Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{2}=b^{10}=c^{5}=[a,c]=1, b^{a}=b^{9}, c^{b}=c^{4} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 5P | ||||||
| $D_5^2$ | 10A1 | $10$ | $10$ | $C_{10}$ | 5A1 | 2A | $b$ |
| $D_5^2$ | 10A3 | $10$ | $10$ | $C_{10}$ | 5A2 | 2A | $b^{3}$ |
| $D_5^2$ | 10B1 | $10$ | $10$ | $C_{10}$ | 5B1 | 2B | $ac$ |
| $D_5^2$ | 10B3 | $10$ | $10$ | $C_{10}$ | 5B2 | 2B | $ac^{2}$ |