Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C43×#6896 ⋊ C3 |
| Sylow | C43 ⋊ #10624877 |
662 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10449 |
Polycyclic presentation:
3^6,43|b^3=f,d^3=e,b^a=be,c^a=cf,g^c=g^6,g^d=g^36867 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 3381);