| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C32×C9 |
| direct product | C3×C9×#11765919 |
| unambiguous semidirect product | (C127⋊C3)⋊C92 |
| Fitting | C3×C9×C127 ⋊ C9 |
| derived, Sylow | C127 ⋊ C3×C92 |
252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3429 |
621 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 346);