D₃×C₇×C₁₉×D₁₁ #31798300

order	17556
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₇×C₁₉×D₁₁
unambiguous semidirect product	(D₃×C₁₁)⋊(C₂×C₇×C₁₉)
unambiguous semidirect product	(C₃×D₁₁)⋊(C₂×C₇×C₁₉)
unambiguous semidirect product	D₃₃⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₃×D₁₁
commutator, cosocle, hypocenter	C₃×C₁₁	C₂²×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₁×C₁₉	C₂²
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₇×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 4389

2793 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17556, 115);