(C₃×C₂₁₁⋊C₃)⋊C₉ #30685255

order	17091
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₂₁₁⋊C₃)⋊C₉

Fitting	C₃×C₉×C₂₁₁ ⋊ C₃
Sylow	C₂₁₁ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 5697

Polycyclic presentation:

3^4,211|a^3=d,b^a=bc,e^b=e^196

1923 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17091, 18);