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Elements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{2}=b^{10}=c^{5}=[a,c]=1, b^{a}=b^{9}, c^{b}=c^{4} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$D_5^2$ 1A $1$ $1$ $D_5^2$ 1A 1A $1$
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