Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | #733×C127 ⋊ C3 |
| Sylow | C127 ⋊ #6913 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3429 |
Polycyclic presentation:
3^5,127|c^3=e,b^a=bd,d^a=de,f^a=f^107,c^b=ce,f^b=f^19,f^c=f^19749 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 291);