C₃₇×#18125 #22639378

order	9472
nilpotency class	3
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃₇ · Schur multiplier (H₂) = C₂⁵

Aliases

	subgroup	G/H
center	C₂×C₄×C₃₇	#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
socle	C₂²×C₃₇	C₂×#120
prime radical	C₂⁴×C₃₇	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₃₇ ◁ C₂×C₄²×C₃₇ ◁ G

928 conjugacy classes of subgroups.

1702 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9472, 11113);