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Elements of the group are displayed as words in the presentation $\langle a \mid a^{4}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P
$C_4$ 1A $1$ $1$ $C_4$ 1A $1$
$C_4$ 2A $2$ $1$ $C_4$ 1A $a^{2}$
$C_4$ 4A1 $4$ $1$ $C_4$ 2A $a$
$C_4$ 4A-1 $4$ $1$ $C_4$ 2A $a^{3}$
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