D₃×C₁₃×D₂₀₉ #45656801

order	32604
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₃×D₂₀₉
unambiguous semidirect product	(D₃×C₁₁)⋊(C₁₃×D₁₉)
unambiguous semidirect product	(D₃×C₁₉)⋊(C₁₃×D₁₁)

	subgroup	G/H
center, hypercenter	C₁₃	D₃×D₂₀₉
commutator, cosocle, hypocenter	C₃×C₁₁×C₁₉	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₁₁×C₁₉
UCS	C₁ ◁ C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 8151

4134 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32604, 151);