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Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{26}=1, b^{a}=b^{25} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 13P | ||||||
| $D_{26}$ | 1A | $1$ | $1$ | $D_{26}$ | 1A | 1A | $1$ |
| $D_{26}$ | 2A | $2$ | $1$ | $D_{26}$ | 1A | 2A | $b^{13}$ |
| $D_{26}$ | 2B | $2$ | $13$ | $C_2^2$ | 1A | 2B | $a$ |
| $D_{26}$ | 2C | $2$ | $13$ | $C_2^2$ | 1A | 2C | $ab^{25}$ |
| $D_{26}$ | 13A1 | $13$ | $2$ | $C_{26}$ | 13A2 | 13A3 | $b^{2}$ |
| $D_{26}$ | 13A2 | $13$ | $2$ | $C_{26}$ | 13A4 | 13A6 | $b^{4}$ |
| $D_{26}$ | 13A3 | $13$ | $2$ | $C_{26}$ | 13A6 | 13A4 | $b^{6}$ |
| $D_{26}$ | 13A4 | $13$ | $2$ | $C_{26}$ | 13A5 | 13A1 | $b^{8}$ |
| $D_{26}$ | 13A5 | $13$ | $2$ | $C_{26}$ | 13A3 | 13A2 | $b^{10}$ |
| $D_{26}$ | 13A6 | $13$ | $2$ | $C_{26}$ | 13A1 | 13A5 | $b^{12}$ |
| $D_{26}$ | 26A1 | $26$ | $2$ | $C_{26}$ | 13A1 | 26A3 | $b$ |
| $D_{26}$ | 26A3 | $26$ | $2$ | $C_{26}$ | 13A3 | 26A9 | $b^{3}$ |
| $D_{26}$ | 26A5 | $26$ | $2$ | $C_{26}$ | 13A5 | 26A11 | $b^{5}$ |
| $D_{26}$ | 26A7 | $26$ | $2$ | $C_{26}$ | 13A6 | 26A5 | $b^{7}$ |
| $D_{26}$ | 26A9 | $26$ | $2$ | $C_{26}$ | 13A4 | 26A1 | $b^{9}$ |
| $D_{26}$ | 26A11 | $26$ | $2$ | $C_{26}$ | 13A2 | 26A7 | $b^{11}$ |