C₂×C₃×C₇²×C₁₉⋊C₃ #30660874

order	16758
isoclinism	isoclinic class of C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₇² · Schur multiplier (H₂) = C₃×C₇

Aliases

direct product	C₂×C₃×C₇²×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃²×C₇²)
unambiguous semidirect product	(C₂×C₃×C₁₉)⋊(C₃×C₇²)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₇²	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂×C₃²×C₇²
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇²×C₁₉	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃×C₇²

240 conjugacy classes of subgroups.

μ_t(G) = 5586

2646 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16758, 401);