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Results (23 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{40}=1, b^{a}=b^{39} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$D_{40}$ 1A $1$ $1$ $D_{40}$ 1A 1A $1$
$D_{40}$ 2A $2$ $1$ $D_{40}$ 1A 2A $b^{20}$
$D_{40}$ 2B $2$ $20$ $C_2^2$ 1A 2B $ab^{29}$
$D_{40}$ 2C $2$ $20$ $C_2^2$ 1A 2C $ab^{18}$
$D_{40}$ 4A $4$ $2$ $C_{40}$ 2A 4A $b^{10}$
$D_{40}$ 5A1 $5$ $2$ $C_{40}$ 5A2 1A $b^{8}$
$D_{40}$ 5A2 $5$ $2$ $C_{40}$ 5A1 1A $b^{16}$
$D_{40}$ 8A1 $8$ $2$ $C_{40}$ 4A 8A3 $b^{5}$
$D_{40}$ 8A3 $8$ $2$ $C_{40}$ 4A 8A1 $b^{15}$
$D_{40}$ 10A1 $10$ $2$ $C_{40}$ 5A1 2A $b^{4}$
$D_{40}$ 10A3 $10$ $2$ $C_{40}$ 5A2 2A $b^{12}$
$D_{40}$ 20A1 $20$ $2$ $C_{40}$ 10A1 4A $b^{2}$
$D_{40}$ 20A3 $20$ $2$ $C_{40}$ 10A3 4A $b^{6}$
$D_{40}$ 20A7 $20$ $2$ $C_{40}$ 10A3 4A $b^{14}$
$D_{40}$ 20A9 $20$ $2$ $C_{40}$ 10A1 4A $b^{18}$
$D_{40}$ 40A1 $40$ $2$ $C_{40}$ 20A1 8A1 $b$
$D_{40}$ 40A3 $40$ $2$ $C_{40}$ 20A3 8A3 $b^{3}$
$D_{40}$ 40A7 $40$ $2$ $C_{40}$ 20A7 8A1 $b^{33}$
$D_{40}$ 40A9 $40$ $2$ $C_{40}$ 20A9 8A1 $b^{9}$
$D_{40}$ 40A11 $40$ $2$ $C_{40}$ 20A9 8A3 $b^{11}$
$D_{40}$ 40A13 $40$ $2$ $C_{40}$ 20A7 8A3 $b^{13}$
$D_{40}$ 40A17 $40$ $2$ $C_{40}$ 20A3 8A1 $b^{17}$
$D_{40}$ 40A19 $40$ $2$ $C_{40}$ 20A1 8A3 $b^{21}$
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