#120×C₂₅₁ #22548596

order	8032
nilpotency class	2
isoclinism	isoclinic class of #120
automorphism	?
homology	Abelianization (H₁) = C₂³×C₂₅₁ · Schur multiplier (H₂) = C₂⁴

Aliases

	subgroup	G/H
center, socle	C₂²×C₂₅₁	C₂³
commutator, Frattini, cosocle	C₂²	C₂³×C₂₅₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₅₁ ◁ G

130 conjugacy classes of subgroups.

3514 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8032, 27);