(C₃×C₁₉₃⋊C₃)⋊C₉ #30627639

order	15633
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₁₉₃⋊C₃)⋊C₉

Fitting	C₃×C₉×C₁₉₃ ⋊ C₃
Sylow	C₁₉₃ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 5211

Polycyclic presentation:

3^4,193|a^3=d,b^a=bc,e^b=e^84

1761 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15633, 18);