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Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid a^{4}=b^{20}=1, b^{a}=b^{3} \rangle$ .
| Group | Label | Order | Size | Centralizer | Powers | Representative | |
|---|---|---|---|---|---|---|---|
| 2P | 5P | ||||||
| $C_{20}:C_4$ | 2A | $2$ | $1$ | $C_{20}:C_4$ | 1A | 2A | $b^{10}$ |
| $C_{20}:C_4$ | 2B | $2$ | $5$ | $C_4:C_4$ | 1A | 2B | $a^{2}b^{2}$ |
| $C_{20}:C_4$ | 2C | $2$ | $5$ | $C_4:C_4$ | 1A | 2C | $a^{2}b^{8}$ |