C₂×C₃²×C₅×C₁₉×D₁₁ #49178772

order	37620
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₅×C₁₉×D₁₁

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅×C₁₉	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂²×C₃²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₁₁×C₁₉	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₂×C₃²×C₅×C₁₉

240 conjugacy classes of subgroups.

μ_t(G) = 18810

11970 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37620, 481);