C₅×D₃×C₁₉×D₂₉ #45683308

order	33060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×D₃×C₁₉×D₂₉
unambiguous semidirect product	(D₃×C₂₉)⋊(C₂×C₅×C₁₉)
unambiguous semidirect product	(C₃×D₂₉)⋊(C₂×C₅×C₁₉)
unambiguous semidirect product	D₈₇⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₃×D₂₉
commutator, cosocle, hypocenter	C₃×C₂₉	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂²
LCS	G ▷ C₃×C₂₉
UCS	C₁ ◁ C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8265

4560 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33060, 72);