(C₃×C₂₂₉⋊C₃)⋊C₉ #32915328

order	18549
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₂₂₉⋊C₃)⋊C₉

Fitting	C₃×C₉×C₂₂₉ ⋊ C₃
Sylow	C₂₂₉ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 6183

Polycyclic presentation:

3^4,229|a^3=d,b^a=bc,e^b=e^134

2085 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18549, 18);