C₂×C₃×C₁₉×D₉₅ #36343286

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

Aliases

direct product	C₂×C₃×C₁₉×D₉₅
unambiguous semidirect product	(C₂×C₅)⋊(C₃×C₁₉×D₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	D₉₅
commutator, cosocle, hypocenter	C₅×C₁₉	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₉²	C₂
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₂×C₃×C₁₉

152 conjugacy classes of subgroups.

μ_t(G) = 1140

5586 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21660, 210);