Let $G$ be the group of all symmetries of the square. Then the number of conjugacy classes in $G$ is
a)$4$
b)$5$
c)$6$
d)$7$
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If you can see this group as a symmetric group $;S_n;$ with permutations, cycles and etc. it is pretty easy to answer this... – DonAntonio Jan 06 '17 at 12:18
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3(e) $5\frac12$ (f) $-1$ (g) $3+4i$ (h) $\sqrt {-163} $ (i) $\varphi$ (j) all of the above – MJD Jan 06 '17 at 12:21
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And, if you are getting used to group theory, I recommend that you write down all elements of this group and its Cayley table. Have you tried that? – Alex Macedo Jan 06 '17 at 12:22
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If you're just asking us without posting your attempt, you may aswell just google it. – sTertooy Jan 06 '17 at 12:23
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Possible duplicate of Conjugate class in the dihedral group – Alex M. Jan 06 '17 at 12:26