C₃×C₅×C₁₉×D₄₁ #37552569

order	23370
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₅×C₁₉×D₄₁

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₉	D₄₁
commutator, cosocle, hypocenter	C₄₁	C₂×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₄₁	C₂
LCS	G ▷ C₄₁
UCS	C₁ ◁ C₃×C₅×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 11685

6270 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23370, 5);