D₃²×C₁₉×C₄₇ #44565332

order	32148
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃²×C₁₉×C₄₇
unambiguous semidirect product	(C₃×D₃)⋊(C₂×C₁₉×C₄₇)
unambiguous semidirect product	(C₃⋊D₃)⋊(C₂×C₁₉×C₄₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₄₇	D₃²
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₉×C₄₇
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₄₇	C₂²
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₉×C₄₇

88 conjugacy classes of subgroups.

μ_t(G) = 5358

8037 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 92);