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C₁₃×H(3,ℤ/9) #23744615

order	9477
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₉²×C₁₃ · Schur multiplier (H₂) = C₉²

Aliases

C₁₃×H(3,ℤ/9)

Subgroups

	subgroup	G/H
center	C₉×C₁₃	C₉²
commutator	C₉	C₉²×C₁₃
Frattini, cosocle	C₃²×C₉	C₃²×C₁₃
socle	C₃×C₁₃	#6855
prime radical	C₃³×C₁₃	H(3,𝔽₃)
LCS	G ▷ C₉ ▷ C₁
UCS	C₁ ◁ C₉×C₁₃ ◁ G

174 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1365 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 24);