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Results (42 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{20}=b^{33}=1, b^{a}=b^{26} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 11P
$C_{33}:C_{20}$ 1A $1$ $1$ $C_{33}:C_{20}$ 1A 1A 1A 1A $1$
$C_{33}:C_{20}$ 2A $2$ $1$ $C_{33}:C_{20}$ 1A 2A 2A 2A $a^{10}$
$C_{33}:C_{20}$ 3A $3$ $2$ $C_{11}:C_{30}$ 3A 1A 3A 3A $b^{22}$
$C_{33}:C_{20}$ 4A1 $4$ $3$ $C_{11}:C_{20}$ 2A 4A-1 4A1 4A-1 $a^{15}$
$C_{33}:C_{20}$ 4A-1 $4$ $3$ $C_{11}:C_{20}$ 2A 4A1 4A-1 4A1 $a^{5}$
$C_{33}:C_{20}$ 5A1 $5$ $11$ $C_3:C_{20}$ 5A2 5A-2 1A 5A1 $a^{12}b^{12}$
$C_{33}:C_{20}$ 5A-1 $5$ $11$ $C_3:C_{20}$ 5A-2 5A2 1A 5A-1 $a^{8}b^{24}$
$C_{33}:C_{20}$ 5A2 $5$ $11$ $C_3:C_{20}$ 5A-1 5A1 1A 5A2 $a^{4}b^{6}$
$C_{33}:C_{20}$ 5A-2 $5$ $11$ $C_3:C_{20}$ 5A1 5A-1 1A 5A-2 $a^{16}b^{9}$
$C_{33}:C_{20}$ 6A $6$ $2$ $C_{11}:C_{30}$ 3A 2A 6A 6A $a^{10}b^{11}$
$C_{33}:C_{20}$ 10A1 $10$ $11$ $C_3:C_{20}$ 5A1 10A3 2A 10A1 $a^{6}b^{9}$
$C_{33}:C_{20}$ 10A-1 $10$ $11$ $C_3:C_{20}$ 5A-1 10A-3 2A 10A-1 $a^{14}b^{6}$
$C_{33}:C_{20}$ 10A3 $10$ $11$ $C_3:C_{20}$ 5A-2 10A-1 2A 10A3 $a^{18}b^{24}$
$C_{33}:C_{20}$ 10A-3 $10$ $11$ $C_3:C_{20}$ 5A2 10A1 2A 10A-3 $a^{2}b^{12}$
$C_{33}:C_{20}$ 11A1 $11$ $5$ $C_3:C_{44}$ 11A-1 11A1 11A1 1A $b^{12}$
$C_{33}:C_{20}$ 11A-1 $11$ $5$ $C_3:C_{44}$ 11A1 11A-1 11A-1 1A $b^{21}$
$C_{33}:C_{20}$ 15A1 $15$ $22$ $C_{30}$ 15A2 5A1 3A 15A1 $a^{4}b^{17}$
$C_{33}:C_{20}$ 15A-1 $15$ $22$ $C_{30}$ 15A-2 5A-1 3A 15A-1 $a^{16}b^{31}$
$C_{33}:C_{20}$ 15A2 $15$ $22$ $C_{30}$ 15A-1 5A2 3A 15A2 $a^{8}b^{13}$
$C_{33}:C_{20}$ 15A-2 $15$ $22$ $C_{30}$ 15A1 5A-2 3A 15A-2 $a^{12}b^{23}$
$C_{33}:C_{20}$ 20A1 $20$ $33$ $C_{20}$ 10A-1 20A3 4A-1 20A-9 $a^{17}b^{26}$
$C_{33}:C_{20}$ 20A-1 $20$ $33$ $C_{20}$ 10A1 20A-3 4A1 20A9 $a^{3}b^{8}$
$C_{33}:C_{20}$ 20A3 $20$ $33$ $C_{20}$ 10A-3 20A9 4A1 20A-7 $a^{11}b^{14}$
$C_{33}:C_{20}$ 20A-3 $20$ $33$ $C_{20}$ 10A3 20A-9 4A-1 20A7 $a^{9}b^{2}$
$C_{33}:C_{20}$ 20A7 $20$ $33$ $C_{20}$ 10A3 20A1 4A1 20A-3 $a^{19}b^{2}$
$C_{33}:C_{20}$ 20A-7 $20$ $33$ $C_{20}$ 10A-3 20A-1 4A-1 20A3 $ab^{14}$
$C_{33}:C_{20}$ 20A9 $20$ $33$ $C_{20}$ 10A1 20A7 4A-1 20A-1 $a^{13}b^{8}$
$C_{33}:C_{20}$ 20A-9 $20$ $33$ $C_{20}$ 10A-1 20A-7 4A1 20A1 $a^{7}b^{26}$
$C_{33}:C_{20}$ 22A1 $22$ $5$ $C_3:C_{44}$ 11A1 22A1 22A1 2A $a^{10}b^{6}$
$C_{33}:C_{20}$ 22A-1 $22$ $5$ $C_3:C_{44}$ 11A-1 22A-1 22A-1 2A $a^{10}b^{27}$
$C_{33}:C_{20}$ 30A1 $30$ $22$ $C_{30}$ 15A1 10A1 6A 30A1 $a^{2}b$
$C_{33}:C_{20}$ 30A-1 $30$ $22$ $C_{30}$ 15A-1 10A-1 6A 30A-1 $a^{18}b$
$C_{33}:C_{20}$ 30A7 $30$ $22$ $C_{30}$ 15A2 10A-3 6A 30A7 $a^{14}b$
$C_{33}:C_{20}$ 30A-7 $30$ $22$ $C_{30}$ 15A-2 10A3 6A 30A-7 $a^{6}b$
$C_{33}:C_{20}$ 33A1 $33$ $10$ $C_{66}$ 33A-1 11A-1 33A1 3A $b^{2}$
$C_{33}:C_{20}$ 33A-1 $33$ $10$ $C_{66}$ 33A1 11A1 33A-1 3A $b^{31}$
$C_{33}:C_{20}$ 44A1 $44$ $15$ $C_{44}$ 22A1 44A3 44A1 4A1 $a^{5}b^{3}$
$C_{33}:C_{20}$ 44A-1 $44$ $15$ $C_{44}$ 22A-1 44A-3 44A-1 4A-1 $a^{15}b^{6}$
$C_{33}:C_{20}$ 44A3 $44$ $15$ $C_{44}$ 22A1 44A1 44A3 4A-1 $a^{15}b^{3}$
$C_{33}:C_{20}$ 44A-3 $44$ $15$ $C_{44}$ 22A-1 44A-1 44A-3 4A1 $a^{5}b^{6}$
$C_{33}:C_{20}$ 66A1 $66$ $10$ $C_{66}$ 33A1 22A-1 66A1 6A $a^{10}b$
$C_{33}:C_{20}$ 66A-1 $66$ $10$ $C_{66}$ 33A-1 22A1 66A-1 6A $a^{10}b^{2}$
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