Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C34×C9 |
| direct product | C3×#23782780 |
| Fitting | C3×C92×C43 ⋊ C3 |
| Sylow | C43 ⋊ C3×#6887 |
1052 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10449 |
3699 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 3266);