C₂×C₁₉×C₃⋊D₁₄₁ #44565359

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

Aliases

direct product	C₂×C₁₉×C₃⋊D₁₄₁
unambiguous semidirect product	(C₂×C₃)⋊(C₁₉×D₁₄₁)
unambiguous semidirect product	(C₂×C₄₇)⋊(C₃⋊D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₃⋊D₁₄₁
commutator, cosocle, hypocenter	C₃²×C₄₇	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₉×C₄₇	C₂
LCS	G ▷ C₃²×C₄₇
UCS	C₁ ◁ C₂×C₁₉

120 conjugacy classes of subgroups.

μ_t(G) = 16074

8094 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 119);