| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9×C27 · Schur multiplier (H2) = C32×C9 |
| direct product | C3×C27×#66526 |
| Fitting | C3×C27×C37 ⋊ C9 |
| derived, Sylow | C37 ⋊ C3×C9×C27 |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
1053 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4233);