C₃×C₁₉×C₅⋊(D₁₉⋊C₃) #44570586

order	32490
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₉×C₅⋊(D₁₉⋊C₃)
unambiguous semidirect product	C₅⋊(C₃×C₁₉×D₁₉⋊C₃)
unambiguous semidirect product	(C₁₉⋊C₃)⋊(C₃×D₅×C₁₉)
unambiguous semidirect product	D₉₅⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×D₉₅)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	C₅⋊(D₁₉⋊C₃)
commutator, cosocle, hypocenter	C₅×C₁₉	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉²	C₂×C₃
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₃×C₁₉

108 conjugacy classes of subgroups.

μ_t(G) = 1710

1539 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32490, 170);