(C₃×C₄₀₉⋊C₃)⋊C₉ #45683980

order	33129
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₄₀₉⋊C₃)⋊C₉

Fitting	C₃×C₉×C₄₀₉ ⋊ C₃
Sylow	C₄₀₉ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 11043

Polycyclic presentation:

3^4,409|a^3=d,b^a=bc,e^b=e^355

3705 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33129, 18);