C₂×C₅×C₃⋊D₃×C₁₉₉ #49089183

order	35820
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₅×C₃⋊D₃×C₁₉₉
unambiguous semidirect product	(C₂×C₃)⋊(C₅×D₃×C₁₉₉)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₅×C₁₉₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₁₉₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₅×C₁₉₉

120 conjugacy classes of subgroups.

μ_t(G) = 17910

11940 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35820, 138);