Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C43×#6897 ⋊ C3 |
| Sylow | C43 ⋊ #10624914 |
578 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10449 |
Polycyclic presentation:
3^6,43|a^3=f,c^3=e,b^a=be,c^a=cf,d^a=def,g^a=g^36,c^b=ce^2f,d^b=de,g^b=g^36,g^d=g^6803 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 3880);