Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Sylow | C43 ⋊ #10624838 |
198 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3483 |
Polycyclic presentation:
3^6,43|b^3=e^2,d^3=f^2,b^a=bd,d^a=de,e^a=ef,c^b=cf,g^b=g^36771 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 3110);