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Results (40 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{74}=1, b^{a}=b^{73} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 37P
$D_{74}$ 1A $1$ $1$ $D_{74}$ 1A 1A $1$
$D_{74}$ 2A $2$ $1$ $D_{74}$ 1A 2A $b^{37}$
$D_{74}$ 2B $2$ $37$ $C_2^2$ 1A 2B $a$
$D_{74}$ 2C $2$ $37$ $C_2^2$ 1A 2C $ab$
$D_{74}$ 37A1 $37$ $2$ $C_{74}$ 37A2 37A3 $b^{2}$
$D_{74}$ 37A2 $37$ $2$ $C_{74}$ 37A4 37A6 $b^{4}$
$D_{74}$ 37A3 $37$ $2$ $C_{74}$ 37A6 37A9 $b^{6}$
$D_{74}$ 37A4 $37$ $2$ $C_{74}$ 37A8 37A12 $b^{8}$
$D_{74}$ 37A5 $37$ $2$ $C_{74}$ 37A10 37A15 $b^{10}$
$D_{74}$ 37A6 $37$ $2$ $C_{74}$ 37A12 37A18 $b^{12}$
$D_{74}$ 37A7 $37$ $2$ $C_{74}$ 37A14 37A16 $b^{14}$
$D_{74}$ 37A8 $37$ $2$ $C_{74}$ 37A16 37A13 $b^{16}$
$D_{74}$ 37A9 $37$ $2$ $C_{74}$ 37A18 37A10 $b^{18}$
$D_{74}$ 37A10 $37$ $2$ $C_{74}$ 37A17 37A7 $b^{20}$
$D_{74}$ 37A11 $37$ $2$ $C_{74}$ 37A15 37A4 $b^{22}$
$D_{74}$ 37A12 $37$ $2$ $C_{74}$ 37A13 37A1 $b^{24}$
$D_{74}$ 37A13 $37$ $2$ $C_{74}$ 37A11 37A2 $b^{26}$
$D_{74}$ 37A14 $37$ $2$ $C_{74}$ 37A9 37A5 $b^{28}$
$D_{74}$ 37A15 $37$ $2$ $C_{74}$ 37A7 37A8 $b^{30}$
$D_{74}$ 37A16 $37$ $2$ $C_{74}$ 37A5 37A11 $b^{32}$
$D_{74}$ 37A17 $37$ $2$ $C_{74}$ 37A3 37A14 $b^{34}$
$D_{74}$ 37A18 $37$ $2$ $C_{74}$ 37A1 37A17 $b^{36}$
$D_{74}$ 74A1 $74$ $2$ $C_{74}$ 37A1 74A3 $b$
$D_{74}$ 74A3 $74$ $2$ $C_{74}$ 37A3 74A9 $b^{3}$
$D_{74}$ 74A5 $74$ $2$ $C_{74}$ 37A5 74A15 $b^{5}$
$D_{74}$ 74A7 $74$ $2$ $C_{74}$ 37A7 74A21 $b^{7}$
$D_{74}$ 74A9 $74$ $2$ $C_{74}$ 37A9 74A27 $b^{9}$
$D_{74}$ 74A11 $74$ $2$ $C_{74}$ 37A11 74A33 $b^{11}$
$D_{74}$ 74A13 $74$ $2$ $C_{74}$ 37A13 74A35 $b^{13}$
$D_{74}$ 74A15 $74$ $2$ $C_{74}$ 37A15 74A29 $b^{15}$
$D_{74}$ 74A17 $74$ $2$ $C_{74}$ 37A17 74A23 $b^{17}$
$D_{74}$ 74A19 $74$ $2$ $C_{74}$ 37A18 74A17 $b^{19}$
$D_{74}$ 74A21 $74$ $2$ $C_{74}$ 37A16 74A11 $b^{21}$
$D_{74}$ 74A23 $74$ $2$ $C_{74}$ 37A14 74A5 $b^{23}$
$D_{74}$ 74A25 $74$ $2$ $C_{74}$ 37A12 74A1 $b^{25}$
$D_{74}$ 74A27 $74$ $2$ $C_{74}$ 37A10 74A7 $b^{27}$
$D_{74}$ 74A29 $74$ $2$ $C_{74}$ 37A8 74A13 $b^{29}$
$D_{74}$ 74A31 $74$ $2$ $C_{74}$ 37A6 74A19 $b^{31}$
$D_{74}$ 74A33 $74$ $2$ $C_{74}$ 37A4 74A25 $b^{33}$
$D_{74}$ 74A35 $74$ $2$ $C_{74}$ 37A2 74A31 $b^{35}$
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