| order | 26487 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C3×C32⋊#11758281 |
| unambiguous semidirect product | (C109⋊C3)⋊(C32⋊C9) |
| unambiguous semidirect product | (C3×#11758281)⋊C32 |
| Fitting | C33×C109 ⋊ C9 |
| Sylow | C109 ⋊ C3×C32⋊C9 |
288 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2943 |
423 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26487, 347);