C₂×D₉×C₁₉×C₂₃ #30628569

order	15732
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₉×C₁₉×C₂₃
unambiguous semidirect product	C₉⋊(C₂²×C₁₉×C₂₃)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₂₃	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₁₉×C₂₃
Frattini	C₃	C₂×D₃×C₁₉×C₂₃
Fitting	C₂×C₉×C₁₉×C₂₃	C₂
socle	C₂×C₃×C₁₉×C₂₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₁₉×C₂₃

60 conjugacy classes of subgroups.

μ_t(G) = 7866

5244 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15732, 31);