Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C43 ⋊ #10624518 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3483 |
Polycyclic presentation:
3^6,43|a^3=d,b^3=e^2,c^3=f^2,b^a=bc,c^a=ce,e^a=ef,g^b=g^36819 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 765);