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Results (35 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{64}=1, b^{a}=b^{31} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P
$\SD_{128}$ 1A $1$ $1$ $\SD_{128}$ 1A $1$
$\SD_{128}$ 2A $2$ $1$ $\SD_{128}$ 1A $b^{32}$
$\SD_{128}$ 2B $2$ $32$ $C_2^2$ 1A $ab^{40}$
$\SD_{128}$ 4A $4$ $2$ $C_{64}$ 2A $b^{16}$
$\SD_{128}$ 4B $4$ $32$ $C_4$ 2A $ab^{3}$
$\SD_{128}$ 8A1 $8$ $2$ $C_{64}$ 4A $b^{8}$
$\SD_{128}$ 8A3 $8$ $2$ $C_{64}$ 4A $b^{24}$
$\SD_{128}$ 16A1 $16$ $2$ $C_{64}$ 8A1 $b^{4}$
$\SD_{128}$ 16A3 $16$ $2$ $C_{64}$ 8A3 $b^{12}$
$\SD_{128}$ 16A5 $16$ $2$ $C_{64}$ 8A3 $b^{20}$
$\SD_{128}$ 16A7 $16$ $2$ $C_{64}$ 8A1 $b^{28}$
$\SD_{128}$ 32A1 $32$ $2$ $C_{64}$ 16A1 $b^{2}$
$\SD_{128}$ 32A3 $32$ $2$ $C_{64}$ 16A3 $b^{6}$
$\SD_{128}$ 32A5 $32$ $2$ $C_{64}$ 16A5 $b^{10}$
$\SD_{128}$ 32A7 $32$ $2$ $C_{64}$ 16A7 $b^{14}$
$\SD_{128}$ 32A9 $32$ $2$ $C_{64}$ 16A7 $b^{18}$
$\SD_{128}$ 32A11 $32$ $2$ $C_{64}$ 16A5 $b^{22}$
$\SD_{128}$ 32A13 $32$ $2$ $C_{64}$ 16A3 $b^{26}$
$\SD_{128}$ 32A15 $32$ $2$ $C_{64}$ 16A1 $b^{30}$
$\SD_{128}$ 64A1 $64$ $2$ $C_{64}$ 32A1 $b$
$\SD_{128}$ 64A-1 $64$ $2$ $C_{64}$ 32A1 $b^{33}$
$\SD_{128}$ 64A3 $64$ $2$ $C_{64}$ 32A3 $b^{3}$
$\SD_{128}$ 64A-3 $64$ $2$ $C_{64}$ 32A3 $b^{35}$
$\SD_{128}$ 64A5 $64$ $2$ $C_{64}$ 32A5 $b^{5}$
$\SD_{128}$ 64A-5 $64$ $2$ $C_{64}$ 32A5 $b^{37}$
$\SD_{128}$ 64A7 $64$ $2$ $C_{64}$ 32A7 $b^{25}$
$\SD_{128}$ 64A-7 $64$ $2$ $C_{64}$ 32A7 $b^{57}$
$\SD_{128}$ 64A9 $64$ $2$ $C_{64}$ 32A9 $b^{9}$
$\SD_{128}$ 64A-9 $64$ $2$ $C_{64}$ 32A9 $b^{41}$
$\SD_{128}$ 64A11 $64$ $2$ $C_{64}$ 32A11 $b^{21}$
$\SD_{128}$ 64A-11 $64$ $2$ $C_{64}$ 32A11 $b^{53}$
$\SD_{128}$ 64A13 $64$ $2$ $C_{64}$ 32A13 $b^{13}$
$\SD_{128}$ 64A-13 $64$ $2$ $C_{64}$ 32A13 $b^{45}$
$\SD_{128}$ 64A15 $64$ $2$ $C_{64}$ 32A15 $b^{17}$
$\SD_{128}$ 64A-15 $64$ $2$ $C_{64}$ 32A15 $b^{49}$
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