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Elements of the group are displayed as words in the presentation $\langle a \mid a^{10}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{10}$ 1A $1$ $1$ $C_{10}$ 1A 1A $1$
$C_{10}$ 2A $2$ $1$ $C_{10}$ 1A 2A $a^{5}$
$C_{10}$ 5A1 $5$ $1$ $C_{10}$ 5A2 1A $a^{2}$
$C_{10}$ 5A-1 $5$ $1$ $C_{10}$ 5A-2 1A $a^{8}$
$C_{10}$ 5A2 $5$ $1$ $C_{10}$ 5A-1 1A $a^{4}$
$C_{10}$ 5A-2 $5$ $1$ $C_{10}$ 5A1 1A $a^{6}$
$C_{10}$ 10A1 $10$ $1$ $C_{10}$ 5A1 2A $a$
$C_{10}$ 10A-1 $10$ $1$ $C_{10}$ 5A-1 2A $a^{9}$
$C_{10}$ 10A3 $10$ $1$ $C_{10}$ 5A-2 2A $a^{3}$
$C_{10}$ 10A-3 $10$ $1$ $C_{10}$ 5A2 2A $a^{7}$
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