D₃×C₁₁×D₇×C₁₉ #31798310

order	17556
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₁×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₁×D₇×C₁₉
unambiguous semidirect product	(D₃×C₇)⋊(C₂×C₁₁×C₁₉)
unambiguous semidirect product	(C₃×D₇)⋊(C₂×C₁₁×C₁₉)
unambiguous semidirect product	D₂₁⋊(C₂×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉	D₃×D₇
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₁×C₁₉	C₂²
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₁×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 4389

3135 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17556, 125);