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Elements of the group are displayed as words in the presentation $\langle a \mid a^{107}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
107P
$C_{107}$ 1A $1$ $1$ $C_{107}$ 1A $1$
$C_{107}$ 107A1 $107$ $1$ $C_{107}$ 107A2 $a$
$C_{107}$ 107A-1 $107$ $1$ $C_{107}$ 107A-2 $a^{106}$
$C_{107}$ 107A2 $107$ $1$ $C_{107}$ 107A4 $a^{2}$
$C_{107}$ 107A-2 $107$ $1$ $C_{107}$ 107A-4 $a^{105}$
$C_{107}$ 107A3 $107$ $1$ $C_{107}$ 107A6 $a^{3}$
$C_{107}$ 107A-3 $107$ $1$ $C_{107}$ 107A-6 $a^{104}$
$C_{107}$ 107A4 $107$ $1$ $C_{107}$ 107A8 $a^{4}$
$C_{107}$ 107A-4 $107$ $1$ $C_{107}$ 107A-8 $a^{103}$
$C_{107}$ 107A5 $107$ $1$ $C_{107}$ 107A10 $a^{5}$
$C_{107}$ 107A-5 $107$ $1$ $C_{107}$ 107A-10 $a^{102}$
$C_{107}$ 107A6 $107$ $1$ $C_{107}$ 107A12 $a^{6}$
$C_{107}$ 107A-6 $107$ $1$ $C_{107}$ 107A-12 $a^{101}$
$C_{107}$ 107A7 $107$ $1$ $C_{107}$ 107A14 $a^{7}$
$C_{107}$ 107A-7 $107$ $1$ $C_{107}$ 107A-14 $a^{100}$
$C_{107}$ 107A8 $107$ $1$ $C_{107}$ 107A16 $a^{8}$
$C_{107}$ 107A-8 $107$ $1$ $C_{107}$ 107A-16 $a^{99}$
$C_{107}$ 107A9 $107$ $1$ $C_{107}$ 107A18 $a^{9}$
$C_{107}$ 107A-9 $107$ $1$ $C_{107}$ 107A-18 $a^{98}$
$C_{107}$ 107A10 $107$ $1$ $C_{107}$ 107A20 $a^{10}$
$C_{107}$ 107A-10 $107$ $1$ $C_{107}$ 107A-20 $a^{97}$
$C_{107}$ 107A11 $107$ $1$ $C_{107}$ 107A22 $a^{11}$
$C_{107}$ 107A-11 $107$ $1$ $C_{107}$ 107A-22 $a^{96}$
$C_{107}$ 107A12 $107$ $1$ $C_{107}$ 107A24 $a^{12}$
$C_{107}$ 107A-12 $107$ $1$ $C_{107}$ 107A-24 $a^{95}$
$C_{107}$ 107A13 $107$ $1$ $C_{107}$ 107A26 $a^{13}$
$C_{107}$ 107A-13 $107$ $1$ $C_{107}$ 107A-26 $a^{94}$
$C_{107}$ 107A14 $107$ $1$ $C_{107}$ 107A28 $a^{14}$
$C_{107}$ 107A-14 $107$ $1$ $C_{107}$ 107A-28 $a^{93}$
$C_{107}$ 107A15 $107$ $1$ $C_{107}$ 107A30 $a^{15}$
$C_{107}$ 107A-15 $107$ $1$ $C_{107}$ 107A-30 $a^{92}$
$C_{107}$ 107A16 $107$ $1$ $C_{107}$ 107A32 $a^{16}$
$C_{107}$ 107A-16 $107$ $1$ $C_{107}$ 107A-32 $a^{91}$
$C_{107}$ 107A17 $107$ $1$ $C_{107}$ 107A34 $a^{17}$
$C_{107}$ 107A-17 $107$ $1$ $C_{107}$ 107A-34 $a^{90}$
$C_{107}$ 107A18 $107$ $1$ $C_{107}$ 107A36 $a^{18}$
$C_{107}$ 107A-18 $107$ $1$ $C_{107}$ 107A-36 $a^{89}$
$C_{107}$ 107A19 $107$ $1$ $C_{107}$ 107A38 $a^{19}$
$C_{107}$ 107A-19 $107$ $1$ $C_{107}$ 107A-38 $a^{88}$
$C_{107}$ 107A20 $107$ $1$ $C_{107}$ 107A40 $a^{20}$
$C_{107}$ 107A-20 $107$ $1$ $C_{107}$ 107A-40 $a^{87}$
$C_{107}$ 107A21 $107$ $1$ $C_{107}$ 107A42 $a^{21}$
$C_{107}$ 107A-21 $107$ $1$ $C_{107}$ 107A-42 $a^{86}$
$C_{107}$ 107A22 $107$ $1$ $C_{107}$ 107A44 $a^{22}$
$C_{107}$ 107A-22 $107$ $1$ $C_{107}$ 107A-44 $a^{85}$
$C_{107}$ 107A23 $107$ $1$ $C_{107}$ 107A46 $a^{23}$
$C_{107}$ 107A-23 $107$ $1$ $C_{107}$ 107A-46 $a^{84}$
$C_{107}$ 107A24 $107$ $1$ $C_{107}$ 107A48 $a^{24}$
$C_{107}$ 107A-24 $107$ $1$ $C_{107}$ 107A-48 $a^{83}$
$C_{107}$ 107A25 $107$ $1$ $C_{107}$ 107A50 $a^{25}$
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