Conjugacy class search results

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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
$D_5^2$	5A1	$5$	$2$	$C_5\times D_5$	5A2	1A	$b^{2}$
$D_5^2$	5A2	$5$	$2$	$C_5\times D_5$	5A1	1A	$b^{4}$
$D_5^2$	5B1	$5$	$2$	$C_5\times D_5$	5B2	1A	$c^{2}$
$D_5^2$	5B2	$5$	$2$	$C_5\times D_5$	5B1	1A	$c^{4}$
$D_5^2$	5C1	$5$	$4$	$C_5^2$	5C2	1A	$b^{2}c$
$D_5^2$	5C2	$5$	$4$	$C_5^2$	5C1	1A	$b^{4}c^{2}$
$D_5^2$	5D1	$5$	$4$	$C_5^2$	5D2	1A	$b^{2}c^{2}$
$D_5^2$	5D2	$5$	$4$	$C_5^2$	5D1	1A	$b^{4}c$

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