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Results (27 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{48}=1, b^{a}=b^{47} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P
$D_{48}$ 1A $1$ $1$ $D_{48}$ 1A 1A $1$
$D_{48}$ 2A $2$ $1$ $D_{48}$ 1A 2A $b^{24}$
$D_{48}$ 2B $2$ $24$ $C_2^2$ 1A 2B $ab^{24}$
$D_{48}$ 2C $2$ $24$ $C_2^2$ 1A 2C $ab^{27}$
$D_{48}$ 3A $3$ $2$ $C_{48}$ 3A 1A $b^{16}$
$D_{48}$ 4A $4$ $2$ $C_{48}$ 2A 4A $b^{12}$
$D_{48}$ 6A $6$ $2$ $C_{48}$ 3A 2A $b^{8}$
$D_{48}$ 8A1 $8$ $2$ $C_{48}$ 4A 8A3 $b^{6}$
$D_{48}$ 8A3 $8$ $2$ $C_{48}$ 4A 8A1 $b^{18}$
$D_{48}$ 12A1 $12$ $2$ $C_{48}$ 6A 4A $b^{4}$
$D_{48}$ 12A5 $12$ $2$ $C_{48}$ 6A 4A $b^{20}$
$D_{48}$ 16A1 $16$ $2$ $C_{48}$ 8A1 16A3 $b^{3}$
$D_{48}$ 16A3 $16$ $2$ $C_{48}$ 8A3 16A7 $b^{9}$
$D_{48}$ 16A5 $16$ $2$ $C_{48}$ 8A3 16A1 $b^{15}$
$D_{48}$ 16A7 $16$ $2$ $C_{48}$ 8A1 16A5 $b^{21}$
$D_{48}$ 24A1 $24$ $2$ $C_{48}$ 12A1 8A1 $b^{2}$
$D_{48}$ 24A5 $24$ $2$ $C_{48}$ 12A5 8A3 $b^{10}$
$D_{48}$ 24A7 $24$ $2$ $C_{48}$ 12A5 8A1 $b^{14}$
$D_{48}$ 24A11 $24$ $2$ $C_{48}$ 12A1 8A3 $b^{22}$
$D_{48}$ 48A1 $48$ $2$ $C_{48}$ 24A1 16A1 $b$
$D_{48}$ 48A5 $48$ $2$ $C_{48}$ 24A5 16A5 $b^{5}$
$D_{48}$ 48A7 $48$ $2$ $C_{48}$ 24A7 16A7 $b^{7}$
$D_{48}$ 48A11 $48$ $2$ $C_{48}$ 24A11 16A5 $b^{11}$
$D_{48}$ 48A13 $48$ $2$ $C_{48}$ 24A11 16A3 $b^{13}$
$D_{48}$ 48A17 $48$ $2$ $C_{48}$ 24A7 16A1 $b^{17}$
$D_{48}$ 48A19 $48$ $2$ $C_{48}$ 24A5 16A3 $b^{19}$
$D_{48}$ 48A23 $48$ $2$ $C_{48}$ 24A1 16A7 $b^{25}$
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