C₂×C₃²×C₁₉×D₂₃ #30628659

order	15732
isoclinism	isoclinic class of D₂₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃²×C₁₉×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂²×C₃²×C₁₉)
unambiguous semidirect product	(C₂×C₂₃)⋊(C₂×C₃²×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₁₉	D₂₃
commutator, cosocle, hypocenter	C₂₃	C₂²×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₉×C₂₃	C₂
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₂×C₃²×C₁₉

120 conjugacy classes of subgroups.

μ_t(G) = 7866

4446 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15732, 121);