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

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{20}$ 20A1 $20$ $1$ $C_{20}$ 10A1 4A1 $a$
$C_{20}$ 20A-1 $20$ $1$ $C_{20}$ 10A-1 4A-1 $a^{19}$
$C_{20}$ 20A3 $20$ $1$ $C_{20}$ 10A3 4A-1 $a^{3}$
$C_{20}$ 20A-3 $20$ $1$ $C_{20}$ 10A-3 4A1 $a^{17}$
$C_{20}$ 20A7 $20$ $1$ $C_{20}$ 10A-3 4A-1 $a^{7}$
$C_{20}$ 20A-7 $20$ $1$ $C_{20}$ 10A3 4A1 $a^{13}$
$C_{20}$ 20A9 $20$ $1$ $C_{20}$ 10A-1 4A1 $a^{9}$
$C_{20}$ 20A-9 $20$ $1$ $C_{20}$ 10A1 4A-1 $a^{11}$
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