Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C9⋊C9×C127 ⋊ C3 |
| Sylow | C127 ⋊ C9×3−1+2 |
148 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10287 |
Polycyclic presentation:
3^5,127|a^3=e,b^3=d,c^3=e,b^a=bd,f^c=f^191485 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 171);