D₅×C₁₉×D₅₁ #34084387

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₅×C₁₉×D₅₁
unambiguous semidirect product	(C₃×D₅)⋊(C₁₉×D₁₇)
unambiguous semidirect product	(D₅×C₁₇)⋊(D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₅×D₅₁
commutator, cosocle, hypocenter	C₃×C₅×C₁₇	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₁₉	C₂²
LCS	G ▷ C₃×C₅×C₁₇
UCS	C₁ ◁ C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 4845

2052 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 99);