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Results (22 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{41}=1, b^{a}=b^{40} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 41P
$D_{41}$ 1A $1$ $1$ $D_{41}$ 1A 1A $1$
$D_{41}$ 2A $2$ $41$ $C_2$ 1A 2A $ab^{3}$
$D_{41}$ 41A1 $41$ $2$ $C_{41}$ 41A2 41A5 $b$
$D_{41}$ 41A2 $41$ $2$ $C_{41}$ 41A4 41A10 $b^{2}$
$D_{41}$ 41A3 $41$ $2$ $C_{41}$ 41A6 41A15 $b^{3}$
$D_{41}$ 41A4 $41$ $2$ $C_{41}$ 41A8 41A20 $b^{4}$
$D_{41}$ 41A5 $41$ $2$ $C_{41}$ 41A10 41A16 $b^{5}$
$D_{41}$ 41A6 $41$ $2$ $C_{41}$ 41A12 41A11 $b^{6}$
$D_{41}$ 41A7 $41$ $2$ $C_{41}$ 41A14 41A6 $b^{7}$
$D_{41}$ 41A8 $41$ $2$ $C_{41}$ 41A16 41A1 $b^{8}$
$D_{41}$ 41A9 $41$ $2$ $C_{41}$ 41A18 41A4 $b^{9}$
$D_{41}$ 41A10 $41$ $2$ $C_{41}$ 41A20 41A9 $b^{10}$
$D_{41}$ 41A11 $41$ $2$ $C_{41}$ 41A19 41A14 $b^{11}$
$D_{41}$ 41A12 $41$ $2$ $C_{41}$ 41A17 41A19 $b^{12}$
$D_{41}$ 41A13 $41$ $2$ $C_{41}$ 41A15 41A17 $b^{13}$
$D_{41}$ 41A14 $41$ $2$ $C_{41}$ 41A13 41A12 $b^{14}$
$D_{41}$ 41A15 $41$ $2$ $C_{41}$ 41A11 41A7 $b^{15}$
$D_{41}$ 41A16 $41$ $2$ $C_{41}$ 41A9 41A2 $b^{16}$
$D_{41}$ 41A17 $41$ $2$ $C_{41}$ 41A7 41A3 $b^{17}$
$D_{41}$ 41A18 $41$ $2$ $C_{41}$ 41A5 41A8 $b^{18}$
$D_{41}$ 41A19 $41$ $2$ $C_{41}$ 41A3 41A13 $b^{19}$
$D_{41}$ 41A20 $41$ $2$ $C_{41}$ 41A1 41A18 $b^{20}$
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