C₂×C₃²×C₁₉×D₄₇ #44565351

order	32148
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃²×C₁₉×D₄₇
unambiguous semidirect product	C₄₇⋊(C₂²×C₃²×C₁₉)
unambiguous semidirect product	(C₂×C₄₇)⋊(C₂×C₃²×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₁₉	D₄₇
commutator, cosocle, hypocenter	C₄₇	C₂²×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₉×C₄₇	C₂
LCS	G ▷ C₄₇
UCS	C₁ ◁ C₂×C₃²×C₁₉

120 conjugacy classes of subgroups.

μ_t(G) = 16074

8550 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 111);