C₃₇×#16521 #22637774

order	9472
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃₇ · Schur multiplier (H₂) = C₂³×C₄

Aliases

	subgroup	G/H
center, socle	C₂⁴×C₃₇	C₂⁴
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₃₇
prime radical	C₂⁵×C₃₇	C₂³
LCS	G ▷ C₂⁴ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₃₇ ◁ G

1526 conjugacy classes of subgroups.

1924 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9472, 9509);