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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 | ||||||
| $C_{20}:C_4$ | 4A | $4$ | $2$ | $C_4\times D_5$ | 2A | 4A | $b^{5}$ |
| $C_{20}:C_4$ | 4B | $4$ | $10$ | $C_2\times C_4$ | 2A | 4B | $a^{2}b^{3}$ |
| $C_{20}:C_4$ | 4C1 | $4$ | $10$ | $C_2\times C_4$ | 2C | 4C1 | $ab^{2}$ |
| $C_{20}:C_4$ | 4C-1 | $4$ | $10$ | $C_2\times C_4$ | 2C | 4C-1 | $a^{3}b^{6}$ |
| $C_{20}:C_4$ | 4D1 | $4$ | $10$ | $C_2\times C_4$ | 2C | 4D1 | $a^{3}b^{7}$ |
| $C_{20}:C_4$ | 4D-1 | $4$ | $10$ | $C_2\times C_4$ | 2C | 4D-1 | $ab^{19}$ |