D₃×D₅×C₁₃×C₁₉ #28414911

order	14820
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×D₅×C₁₃×C₁₉
unambiguous semidirect product	(C₅×D₃)⋊(C₂×C₁₃×C₁₉)
unambiguous semidirect product	(C₃×D₅)⋊(C₂×C₁₃×C₁₉)
unambiguous semidirect product	D₁₅⋊(C₂×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	D₃×D₅
commutator, cosocle, hypocenter	C₃×C₅	C₂²×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 3705

2964 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14820, 197);