Finite Group DatabasebetaFinite Group Databasebeta| order | 33777 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
| unambiguous semidirect product | H(3,𝔽3)⋊(C139⋊C9) |
| Sylow | C139 ⋊ H(3,𝔽3)⋊C9 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11259 |
Polycyclic presentation:
3^5,139|a^3=d,b^a=bc,c^a=ce,f^a=f^96,c^b=ce1569 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33777, 104);