C₂×C₅×C₁₉×D₉₃ #47977774

order	35340
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×C₁₉×D₉₃
unambiguous semidirect product	(C₂×C₃)⋊(C₅×C₁₉×D₃₁)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉	D₉₃
commutator, cosocle, hypocenter	C₃×C₃₁	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₉×C₃₁	C₂
LCS	G ▷ C₃×C₃₁
UCS	C₁ ◁ C₂×C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 17670

9120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35340, 246);