C₂×C₃×C₅×C₁₉×D₁₉ #36343283

order	21660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₅×C₁₉×D₁₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₁₉	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₉²	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃×C₅×C₁₉

152 conjugacy classes of subgroups.

μ_t(G) = 1140

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21660, 207);