D₃²×C₁₉×C₂₃ #30628632

order	15732
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃²×C₁₉×C₂₃
unambiguous semidirect product	(C₃×D₃)⋊(C₂×C₁₉×C₂₃)
unambiguous semidirect product	(C₃⋊D₃)⋊(C₂×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₃	D₃²
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₉×C₂₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₂₃	C₂²
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₉×C₂₃

88 conjugacy classes of subgroups.

μ_t(G) = 2622

3933 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15732, 94);