C₂²×C₁₃×C₂₄₁⋊C₃ #49178157

order	37596
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₃×C₂₄₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₃	C₂₄₁⋊C₃
commutator, cosocle, hypocenter	C₂₄₁	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₁₃×C₂₄₁	C₃
LCS	G ▷ C₂₄₁
UCS	C₁ ◁ C₂²×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 12532

4316 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37596, 90);