C₂₉×C₁₉₃⋊C₃ #30680967

order	16791
automorphism	?
homology	Abelianization (H₁) = C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×C₁₉₃⋊C₃
unambiguous semidirect product	C₁₉₃⋊(C₃×C₂₉)
unambiguous semidirect product	(C₂₉×C₁₉₃)⋊C₃

Fitting, socle, Hall	C₂₉×C₁₉₃ ⋊ C₃
derived, Sylow	C₁₉₃ ⋊ C₃×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₉×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂₉

8 conjugacy classes of subgroups.

μ_t(G) = 5597

1943 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16791, 1);