C₂×C₅×C₄₃×C₁₉⋊C₃ #37587756

order	24510
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₅×C₄₃×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₅×C₄₃)
unambiguous semidirect product	(C₂×C₅×C₁₉)⋊(C₃×C₄₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₄₃	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂×C₃×C₅×C₄₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₄₃	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₅×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 8170

3870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24510, 3);