Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C3×C32⋊#11765919 |
| unambiguous semidirect product | (C127⋊C3)⋊(C32⋊C9) |
| unambiguous semidirect product | (C3×#11765919)⋊C32 |
| Fitting | C33×C127 ⋊ C9 |
| Sylow | C127 ⋊ C3×C32⋊C9 |
288 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3429 |
477 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 347);