C₂×C₃×C₅×C₁₃×D₁₉ #28414950

order	14820
isoclinism	isoclinic class of D₁₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₅×C₁₃×D₁₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₁₃	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₃×C₁₉	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃×C₅×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 7410

4290 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14820, 236);