C₃×C₅×D₁₇×D₁₉ #34084342

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₃×C₅×D₁₇×D₁₉

	subgroup	G/H
center, hypercenter	C₃×C₅	D₁₇×D₁₉
commutator, cosocle, hypocenter	C₁₇×C₁₉	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₁₉	C₂²
LCS	G ▷ C₁₇×C₁₉
UCS	C₁ ◁ C₃×C₅

80 conjugacy classes of subgroups.

μ_t(G) = 4845

1650 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 54);