Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C32⋊C9×C127 ⋊ C3 |
| Sylow | C127 ⋊ C9×H(3,𝔽3) |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10287 |
Polycyclic presentation:
3^5,127|a^3=e,c^3=e,b^a=bd,f^c=f^1071485 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 167);