Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C32 |
| direct product | C3×#23782743 |
| Fitting | C3×C43×C81 ⋊ C3 |
| Sylow | C43 ⋊ C3×C81⋊C3 |
164 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, 3085);