D₅×C₄₃×C₁₉⋊C₃ #37587787

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

Aliases

direct product	D₅×C₄₃×C₁₉⋊C₃
unambiguous semidirect product	C₅⋊(C₂×C₄₃×C₁₉⋊C₃)
unambiguous semidirect product	(D₅×C₁₉)⋊(C₃×C₄₃)

	subgroup	G/H
center, hypercenter	C₄₃	D₅×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₅×C₁₉	C₂×C₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₄₃	C₂×C₃
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 4085

1548 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24510, 34);