Finite Group DatabasebetaFinite Group Databasebeta| order | 26811 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C27×C331 ⋊ C3 |
| Sylow | C331 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8937 |
Polycyclic presentation:
3^4,331|a^3=c,c^3=d,b^a=bd,e^b=e^2993003 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26811, 25);