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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{4}=b^{20}=1, b^{a}=b^{3} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{20}:C_4$ 2A $2$ $1$ $C_{20}:C_4$ 1A 2A $b^{10}$
$C_{20}:C_4$ 2B $2$ $5$ $C_4:C_4$ 1A 2B $a^{2}b^{2}$
$C_{20}:C_4$ 2C $2$ $5$ $C_4:C_4$ 1A 2C $a^{2}b^{8}$
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