C₃×D₅×C₂₉×D₁₉ #45683303

order	33060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₅×C₂₉×D₁₉

	subgroup	G/H
center, hypercenter	C₃×C₂₉	D₅×D₁₉
commutator, cosocle, hypocenter	C₅×C₁₉	C₂²×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂²
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₃×C₂₉

80 conjugacy classes of subgroups.

μ_t(G) = 8265

3828 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33060, 67);