C₃₇×C₂²⋊#401 #22636080

order	9472
nilpotency class	2
isoclinism	isoclinic class of #14715
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃₇ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₃₇×C₂²⋊#401
unambiguous semidirect product	C₂²⋊(C₃₇×#401)

	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

1650 conjugacy classes of subgroups.

2368 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9472, 7815);