C₃×C₅×D₁₉×D₂₉ #45683290

order	33060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₃×C₅×D₁₉×D₂₉

	subgroup	G/H
center, hypercenter	C₃×C₅	D₁₉×D₂₉
commutator, cosocle, hypocenter	C₁₉×C₂₉	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂²
LCS	G ▷ C₁₉×C₂₉
UCS	C₁ ◁ C₃×C₅

80 conjugacy classes of subgroups.

μ_t(G) = 8265

2640 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33060, 54);