C₂×C₃×C₇×C₁₉×D₁₁ #31798348

order	17556
isoclinism	isoclinic class of D₁₁
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×C₇×C₁₉×D₁₁
unambiguous semidirect product	C₁₁⋊(C₂²×C₃×C₇×C₁₉)
unambiguous semidirect product	(C₂×C₁₁)⋊(C₂×C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₇×C₁₉	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂²×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₁×C₁₉	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₂×C₃×C₇×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8778

5586 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17556, 163);