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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 | ||||||
| $D_5^2$ | 2A | $2$ | $5$ | $D_{10}$ | 1A | 2A | $b^{5}$ |
| $D_5^2$ | 2B | $2$ | $5$ | $D_{10}$ | 1A | 2B | $a$ |
| $D_5^2$ | 2C | $2$ | $25$ | $C_2^2$ | 1A | 2C | $ab^{9}c$ |