D₃×C₁₉×C₂₈₁ #44545142

order	32034
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₂₈₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₉×C₂₈₁
unambiguous semidirect product	C₃⋊(C₂×C₁₉×C₂₈₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₈₁	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₉×C₂₈₁
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₈₁	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₉×C₂₈₁

16 conjugacy classes of subgroups.

μ_t(G) = 16017

16017 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32034, 6);