C₁₃×#10624837 #23744988

order	9477
nilpotency class	4
automorphism	?
homology	Abelianization (H₁) = C₃³×C₁₃ · Schur multiplier (H₂) = C₃³

Aliases

	subgroup	G/H
center	C₉×C₁₃	#732
commutator, Frattini, cosocle	C₃×C₉	C₃³×C₁₃
socle	C₃×C₁₃	C₃×#732
LCS	G ▷ C₃×C₉ ▷ C₃² ▷ C₃ ▷ C₁
UCS	C₁ ◁ C₉×C₁₃ ◁ C₃×C₉×C₁₃ ◁ C₃²×C₉×C₁₃ ◁ G

226 conjugacy classes of subgroups.

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 397);