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Results (29 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{28}=b^{29}=1, b^{a}=b^{18} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 7P 29P
$F_{29}$ 1A $1$ $1$ $F_{29}$ 1A 1A 1A $1$
$F_{29}$ 2A $2$ $29$ $C_{28}$ 1A 2A 2A $a^{14}b^{19}$
$F_{29}$ 4A1 $4$ $29$ $C_{28}$ 2A 4A-1 4A-1 $a^{7}b^{22}$
$F_{29}$ 4A-1 $4$ $29$ $C_{28}$ 2A 4A1 4A1 $a^{21}b^{26}$
$F_{29}$ 7A1 $7$ $29$ $C_{28}$ 7A2 7A3 1A $a^{16}b^{28}$
$F_{29}$ 7A-1 $7$ $29$ $C_{28}$ 7A-2 7A-3 1A $a^{12}b^{23}$
$F_{29}$ 7A2 $7$ $29$ $C_{28}$ 7A-3 7A-1 1A $a^{4}b^{4}$
$F_{29}$ 7A-2 $7$ $29$ $C_{28}$ 7A3 7A1 1A $a^{24}b$
$F_{29}$ 7A3 $7$ $29$ $C_{28}$ 7A-1 7A2 1A $a^{20}b^{8}$
$F_{29}$ 7A-3 $7$ $29$ $C_{28}$ 7A1 7A-2 1A $a^{8}b^{17}$
$F_{29}$ 14A1 $14$ $29$ $C_{28}$ 7A1 14A3 2A $a^{22}b^{2}$
$F_{29}$ 14A-1 $14$ $29$ $C_{28}$ 7A-1 14A-3 2A $a^{6}b^{11}$
$F_{29}$ 14A3 $14$ $29$ $C_{28}$ 7A3 14A-5 2A $a^{10}b^{18}$
$F_{29}$ 14A-3 $14$ $29$ $C_{28}$ 7A-3 14A5 2A $a^{18}b^{15}$
$F_{29}$ 14A5 $14$ $29$ $C_{28}$ 7A-2 14A1 2A $a^{26}b^{25}$
$F_{29}$ 14A-5 $14$ $29$ $C_{28}$ 7A2 14A-1 2A $a^{2}b^{20}$
$F_{29}$ 28A1 $28$ $29$ $C_{28}$ 14A1 28A3 4A1 $a^{25}b^{16}$
$F_{29}$ 28A-1 $28$ $29$ $C_{28}$ 14A-1 28A-3 4A-1 $a^{3}b^{10}$
$F_{29}$ 28A3 $28$ $29$ $C_{28}$ 14A3 28A9 4A-1 $a^{19}b^{7}$
$F_{29}$ 28A-3 $28$ $29$ $C_{28}$ 14A-3 28A-9 4A1 $a^{9}b^{14}$
$F_{29}$ 28A5 $28$ $29$ $C_{28}$ 14A5 28A-13 4A1 $a^{13}b^{6}$
$F_{29}$ 28A-5 $28$ $29$ $C_{28}$ 14A-5 28A13 4A-1 $a^{15}b^{21}$
$F_{29}$ 28A9 $28$ $29$ $C_{28}$ 14A-5 28A-1 4A1 $ab^{27}$
$F_{29}$ 28A-9 $28$ $29$ $C_{28}$ 14A5 28A1 4A-1 $a^{27}b^{13}$
$F_{29}$ 28A11 $28$ $29$ $C_{28}$ 14A-3 28A5 4A-1 $a^{23}b^{5}$
$F_{29}$ 28A-11 $28$ $29$ $C_{28}$ 14A3 28A-5 4A1 $a^{5}b^{12}$
$F_{29}$ 28A13 $28$ $29$ $C_{28}$ 14A-1 28A11 4A1 $a^{17}b^{9}$
$F_{29}$ 28A-13 $28$ $29$ $C_{28}$ 14A1 28A-11 4A-1 $a^{11}b^{3}$
$F_{29}$ 29A $29$ $28$ $C_{29}$ 29A 29A 29A $b$
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