Conjugacy class search results

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{4}=1, b^{a}=b^{3} \rangle$ .

Group	Label	Order	Size	Centralizer	Powers	Representative
					2P
$D_4$	1A	$1$	$1$	$D_4$	1A	$1$
$D_4$	2A	$2$	$1$	$D_4$	1A	$b^{2}$
$D_4$	2B	$2$	$2$	$C_2^2$	1A	$a$
$D_4$	2C	$2$	$2$	$C_2^2$	1A	$ab$
$D_4$	4A	$4$	$2$	$C_4$	2A	$b$

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