C₂²×C₁₆₀₁⋊C₅ #44545020

order	32020
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂²×C₁₆₀₁⋊C₅
unambiguous semidirect product	(C₂²×C₁₆₀₁)⋊C₅

Fitting, socle, Hall	C₂²×C₁₆₀₁ ⋊ C₅
derived, Sylow	C₁₆₀₁ ⋊ C₂²×C₅

	subgroup	G/H
center, hypercenter	C₂²	C₁₆₀₁⋊C₅
commutator, cosocle, hypocenter	C₁₆₀₁	C₂²×C₅
Frattini	C₁	G
Fitting, socle	C₂²×C₁₆₀₁	C₅
LCS	G ▷ C₁₆₀₁
UCS	C₁ ◁ C₂²

20 conjugacy classes of subgroups.

μ_t(G) = 6404

1300 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32020, 10);