C₂×C₁₉×D₁₀₃⋊C₃ #37553593

order	23484
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₁₀₃⋊C₃
unambiguous semidirect product	D₁₀₃⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	(C₁₀₃⋊C₃)⋊(C₂²×C₁₉)
unambiguous semidirect product	(C₂×D₁₀₃)⋊(C₃×C₁₉)
unambiguous semidirect product	(C₂×C₁₀₃⋊C₃)⋊(C₂×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₁₀₃⋊C₃
commutator, cosocle, hypocenter	C₁₀₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₁₀₃	C₂×C₃
LCS	G ▷ C₁₀₃
UCS	C₁ ◁ C₂×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 3914

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23484, 30);