D₅×C₁₉×C₄₃⋊C₃ #37587786

order	24510
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 4085

1292 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24510, 33);