D₃×C₁₉×C₂₇₁ #44525326

order	30894
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₂₇₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₉×C₂₇₁
unambiguous semidirect product	C₃⋊(C₂×C₁₉×C₂₇₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₇₁	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₉×C₂₇₁
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₇₁	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₉×C₂₇₁

16 conjugacy classes of subgroups.

μ_t(G) = 15447

15447 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30894, 9);