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Results (26 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{46}=1, b^{a}=b^{45} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 23P
$D_{46}$ 1A $1$ $1$ $D_{46}$ 1A 1A $1$
$D_{46}$ 2A $2$ $1$ $D_{46}$ 1A 2A $b^{23}$
$D_{46}$ 2B $2$ $23$ $C_2^2$ 1A 2B $a$
$D_{46}$ 2C $2$ $23$ $C_2^2$ 1A 2C $ab$
$D_{46}$ 23A1 $23$ $2$ $C_{46}$ 23A2 23A11 $b^{2}$
$D_{46}$ 23A2 $23$ $2$ $C_{46}$ 23A4 23A1 $b^{4}$
$D_{46}$ 23A3 $23$ $2$ $C_{46}$ 23A6 23A10 $b^{6}$
$D_{46}$ 23A4 $23$ $2$ $C_{46}$ 23A8 23A2 $b^{8}$
$D_{46}$ 23A5 $23$ $2$ $C_{46}$ 23A10 23A9 $b^{10}$
$D_{46}$ 23A6 $23$ $2$ $C_{46}$ 23A11 23A3 $b^{12}$
$D_{46}$ 23A7 $23$ $2$ $C_{46}$ 23A9 23A8 $b^{14}$
$D_{46}$ 23A8 $23$ $2$ $C_{46}$ 23A7 23A4 $b^{16}$
$D_{46}$ 23A9 $23$ $2$ $C_{46}$ 23A5 23A7 $b^{18}$
$D_{46}$ 23A10 $23$ $2$ $C_{46}$ 23A3 23A5 $b^{20}$
$D_{46}$ 23A11 $23$ $2$ $C_{46}$ 23A1 23A6 $b^{22}$
$D_{46}$ 46A1 $46$ $2$ $C_{46}$ 23A1 46A11 $b$
$D_{46}$ 46A3 $46$ $2$ $C_{46}$ 23A3 46A13 $b^{3}$
$D_{46}$ 46A5 $46$ $2$ $C_{46}$ 23A5 46A9 $b^{5}$
$D_{46}$ 46A7 $46$ $2$ $C_{46}$ 23A7 46A15 $b^{7}$
$D_{46}$ 46A9 $46$ $2$ $C_{46}$ 23A9 46A7 $b^{9}$
$D_{46}$ 46A11 $46$ $2$ $C_{46}$ 23A11 46A17 $b^{11}$
$D_{46}$ 46A13 $46$ $2$ $C_{46}$ 23A10 46A5 $b^{13}$
$D_{46}$ 46A15 $46$ $2$ $C_{46}$ 23A8 46A19 $b^{15}$
$D_{46}$ 46A17 $46$ $2$ $C_{46}$ 23A6 46A3 $b^{17}$
$D_{46}$ 46A19 $46$ $2$ $C_{46}$ 23A4 46A21 $b^{19}$
$D_{46}$ 46A21 $46$ $2$ $C_{46}$ 23A2 46A1 $b^{21}$
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