C₃×D₅×C₁₉×D₁₇ #34084355

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₃×D₅×C₁₉×D₁₇
unambiguous semidirect product	(D₅×C₁₇)⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	(C₅×D₁₇)⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	D₈₅⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₅×D₁₇
commutator, cosocle, hypocenter	C₅×C₁₇	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₁₉	C₂²
LCS	G ▷ C₅×C₁₇
UCS	C₁ ◁ C₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 4845

2280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 67);