(C₃×C₂₈₃⋊C₃)⋊C₉ #37523945

order	22923
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

(C₃×C₂₈₃⋊C₃)⋊C₉

Fitting	C₃×C₉×C₂₈₃ ⋊ C₃
Sylow	C₂₈₃ ⋊ C₃²⋊C₉

46 conjugacy classes of subgroups.

μ_t(G) = 7641

Polycyclic presentation:

3^4,283|a^3=d,b^a=bc,e^b=e^238

2571 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22923, 18);