C₂²×C₅×C₁₉×C₁₃⋊C₃ #28414934

order	14820
isoclinism	isoclinic class of C₁₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₁₉×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅×C₁₉	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₁₃×C₁₉	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂²×C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 4940

2660 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14820, 220);