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Elements of the group are displayed as words in the presentation $\langle a \mid a^{179}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
179P
$C_{179}$ 1A $1$ $1$ $C_{179}$ 1A $1$
$C_{179}$ 179A1 $179$ $1$ $C_{179}$ 179A2 $a$
$C_{179}$ 179A-1 $179$ $1$ $C_{179}$ 179A-2 $a^{178}$
$C_{179}$ 179A2 $179$ $1$ $C_{179}$ 179A4 $a^{2}$
$C_{179}$ 179A-2 $179$ $1$ $C_{179}$ 179A-4 $a^{177}$
$C_{179}$ 179A3 $179$ $1$ $C_{179}$ 179A6 $a^{3}$
$C_{179}$ 179A-3 $179$ $1$ $C_{179}$ 179A-6 $a^{176}$
$C_{179}$ 179A4 $179$ $1$ $C_{179}$ 179A8 $a^{4}$
$C_{179}$ 179A-4 $179$ $1$ $C_{179}$ 179A-8 $a^{175}$
$C_{179}$ 179A5 $179$ $1$ $C_{179}$ 179A10 $a^{5}$
$C_{179}$ 179A-5 $179$ $1$ $C_{179}$ 179A-10 $a^{174}$
$C_{179}$ 179A6 $179$ $1$ $C_{179}$ 179A12 $a^{6}$
$C_{179}$ 179A-6 $179$ $1$ $C_{179}$ 179A-12 $a^{173}$
$C_{179}$ 179A7 $179$ $1$ $C_{179}$ 179A14 $a^{7}$
$C_{179}$ 179A-7 $179$ $1$ $C_{179}$ 179A-14 $a^{172}$
$C_{179}$ 179A8 $179$ $1$ $C_{179}$ 179A16 $a^{8}$
$C_{179}$ 179A-8 $179$ $1$ $C_{179}$ 179A-16 $a^{171}$
$C_{179}$ 179A9 $179$ $1$ $C_{179}$ 179A18 $a^{9}$
$C_{179}$ 179A-9 $179$ $1$ $C_{179}$ 179A-18 $a^{170}$
$C_{179}$ 179A10 $179$ $1$ $C_{179}$ 179A20 $a^{10}$
$C_{179}$ 179A-10 $179$ $1$ $C_{179}$ 179A-20 $a^{169}$
$C_{179}$ 179A11 $179$ $1$ $C_{179}$ 179A22 $a^{11}$
$C_{179}$ 179A-11 $179$ $1$ $C_{179}$ 179A-22 $a^{168}$
$C_{179}$ 179A12 $179$ $1$ $C_{179}$ 179A24 $a^{12}$
$C_{179}$ 179A-12 $179$ $1$ $C_{179}$ 179A-24 $a^{167}$
$C_{179}$ 179A13 $179$ $1$ $C_{179}$ 179A26 $a^{13}$
$C_{179}$ 179A-13 $179$ $1$ $C_{179}$ 179A-26 $a^{166}$
$C_{179}$ 179A14 $179$ $1$ $C_{179}$ 179A28 $a^{14}$
$C_{179}$ 179A-14 $179$ $1$ $C_{179}$ 179A-28 $a^{165}$
$C_{179}$ 179A15 $179$ $1$ $C_{179}$ 179A30 $a^{15}$
$C_{179}$ 179A-15 $179$ $1$ $C_{179}$ 179A-30 $a^{164}$
$C_{179}$ 179A16 $179$ $1$ $C_{179}$ 179A32 $a^{16}$
$C_{179}$ 179A-16 $179$ $1$ $C_{179}$ 179A-32 $a^{163}$
$C_{179}$ 179A17 $179$ $1$ $C_{179}$ 179A34 $a^{17}$
$C_{179}$ 179A-17 $179$ $1$ $C_{179}$ 179A-34 $a^{162}$
$C_{179}$ 179A18 $179$ $1$ $C_{179}$ 179A36 $a^{18}$
$C_{179}$ 179A-18 $179$ $1$ $C_{179}$ 179A-36 $a^{161}$
$C_{179}$ 179A19 $179$ $1$ $C_{179}$ 179A38 $a^{19}$
$C_{179}$ 179A-19 $179$ $1$ $C_{179}$ 179A-38 $a^{160}$
$C_{179}$ 179A20 $179$ $1$ $C_{179}$ 179A40 $a^{20}$
$C_{179}$ 179A-20 $179$ $1$ $C_{179}$ 179A-40 $a^{159}$
$C_{179}$ 179A21 $179$ $1$ $C_{179}$ 179A42 $a^{21}$
$C_{179}$ 179A-21 $179$ $1$ $C_{179}$ 179A-42 $a^{158}$
$C_{179}$ 179A22 $179$ $1$ $C_{179}$ 179A44 $a^{22}$
$C_{179}$ 179A-22 $179$ $1$ $C_{179}$ 179A-44 $a^{157}$
$C_{179}$ 179A23 $179$ $1$ $C_{179}$ 179A46 $a^{23}$
$C_{179}$ 179A-23 $179$ $1$ $C_{179}$ 179A-46 $a^{156}$
$C_{179}$ 179A24 $179$ $1$ $C_{179}$ 179A48 $a^{24}$
$C_{179}$ 179A-24 $179$ $1$ $C_{179}$ 179A-48 $a^{155}$
$C_{179}$ 179A25 $179$ $1$ $C_{179}$ 179A50 $a^{25}$
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