D₃×C₁₉×D₁₄₃ #45656807

order	32604
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₉×D₁₄₃
unambiguous semidirect product	(D₃×C₁₁)⋊(C₁₉×D₁₃)
unambiguous semidirect product	(D₃×C₁₃)⋊(C₁₉×D₁₁)

	subgroup	G/H
center, hypercenter	C₁₉	D₃×D₁₄₃
commutator, cosocle, hypocenter	C₃×C₁₁×C₁₃	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₁₁×C₁₃
UCS	C₁ ◁ C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8151

4161 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32604, 157);