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Results (21 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{24}=1, b^{a}=b^{7} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_3\times D_8$ 1A $1$ $1$ $C_3\times D_8$ 1A 1A $1$
$C_3\times D_8$ 2A $2$ $1$ $C_3\times D_8$ 1A 2A $b^{12}$
$C_3\times D_8$ 2B $2$ $4$ $C_2\times C_6$ 1A 2B $a$
$C_3\times D_8$ 2C $2$ $4$ $C_2\times C_6$ 1A 2C $ab^{9}$
$C_3\times D_8$ 3A1 $3$ $1$ $C_3\times D_8$ 3A-1 1A $b^{16}$
$C_3\times D_8$ 3A-1 $3$ $1$ $C_3\times D_8$ 3A1 1A $b^{8}$
$C_3\times D_8$ 4A $4$ $2$ $C_{24}$ 2A 4A $b^{6}$
$C_3\times D_8$ 6A1 $6$ $1$ $C_3\times D_8$ 3A-1 2A $b^{4}$
$C_3\times D_8$ 6A-1 $6$ $1$ $C_3\times D_8$ 3A1 2A $b^{20}$
$C_3\times D_8$ 6B1 $6$ $4$ $C_2\times C_6$ 3A1 2B $ab^{8}$
$C_3\times D_8$ 6B-1 $6$ $4$ $C_2\times C_6$ 3A-1 2B $ab^{4}$
$C_3\times D_8$ 6C1 $6$ $4$ $C_2\times C_6$ 3A-1 2C $ab$
$C_3\times D_8$ 6C-1 $6$ $4$ $C_2\times C_6$ 3A1 2C $ab^{5}$
$C_3\times D_8$ 8A1 $8$ $2$ $C_{24}$ 4A 8A3 $b^{3}$
$C_3\times D_8$ 8A3 $8$ $2$ $C_{24}$ 4A 8A1 $b^{9}$
$C_3\times D_8$ 12A1 $12$ $2$ $C_{24}$ 6A1 4A $b^{2}$
$C_3\times D_8$ 12A-1 $12$ $2$ $C_{24}$ 6A-1 4A $b^{22}$
$C_3\times D_8$ 24A1 $24$ $2$ $C_{24}$ 12A1 8A1 $b$
$C_3\times D_8$ 24A-1 $24$ $2$ $C_{24}$ 12A-1 8A1 $b^{17}$
$C_3\times D_8$ 24A5 $24$ $2$ $C_{24}$ 12A-1 8A3 $b^{5}$
$C_3\times D_8$ 24A-5 $24$ $2$ $C_{24}$ 12A1 8A3 $b^{13}$
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