C₂×C₃×D₃×C₁₉×C₂₃ #30628656

order	15732
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×D₃×C₁₉×C₂₃
unambiguous semidirect product	C₃⋊(C₂²×C₃×C₁₉×C₂₃)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₃×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉×C₂₃	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₃×C₁₉×C₂₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₉×C₂₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₁₉×C₂₃

88 conjugacy classes of subgroups.

μ_t(G) = 5244

7866 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15732, 118);