D₃×C₁₉×D₁₄₅ #45683333

order	33060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₉×D₁₄₅
unambiguous semidirect product	(C₅×D₃)⋊(C₁₉×D₂₉)
unambiguous semidirect product	(D₃×C₂₉)⋊(D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₃×D₁₄₅
commutator, cosocle, hypocenter	C₃×C₅×C₂₉	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂²
LCS	G ▷ C₃×C₅×C₂₉
UCS	C₁ ◁ C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8265

4218 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33060, 97);