C₂×C₁₉×C₁₉⋊C₃ #14524213

order	2166
isoclinism	isoclinic class of C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₁₉)

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

28 conjugacy classes of subgroups.

μ_t(G) = 114

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2166, 16);