Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#23779842 |
| Fitting | C34×C127 ⋊ C3 |
| Sylow | C127 ⋊ C3×AΣL(1,𝔽27) |
252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3429 |
3453 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 245);