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Results (5 matches)
Download displayed columns for resultsElements of the group are displayed as words in the presentation $\langle a, b \mid b^{4}=1, a^{2}=b^{2}, b^{a}=b^{3} \rangle$ .
Group | Label | Order | Size | Centralizer | Powers | Representative |
---|---|---|---|---|---|---|
2P | ||||||
$Q_8$ | 1A | $1$ | $1$ | $Q_8$ | 1A | $1$ |
$Q_8$ | 2A | $2$ | $1$ | $Q_8$ | 1A | $b^{2}$ |
$Q_8$ | 4A | $4$ | $2$ | $C_4$ | 2A | $b$ |
$Q_8$ | 4B | $4$ | $2$ | $C_4$ | 2A | $a$ |
$Q_8$ | 4C | $4$ | $2$ | $C_4$ | 2A | $ab$ |