C₇₁×#15510 #31836382

order	18176
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₇₁ · Schur multiplier (H₂) = C₂²×C₄²

Aliases

	subgroup	G/H
center, socle, prime radical	C₂⁴×C₇₁	C₂⁴
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₇₁
LCS	G ▷ C₂⁴ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₇₁ ◁ G

1478 conjugacy classes of subgroups.

μ_t(G) = 18176

4118 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 8498);