(C₃×C₄₆₃⋊C₃)⋊C₉ #49154244

order	37503
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₄₆₃⋊C₃)⋊C₉

Fitting	C₃×C₉×C₄₆₃ ⋊ C₃
Sylow	C₄₆₃ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 12501

Polycyclic presentation:

3^4,463|a^3=d,b^a=bc,e^b=e^21

4191 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37503, 18);