| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C81 · Schur multiplier (H2) = C33 |
| direct product | C3×(C37⋊C3)⋊C81 |
| unambiguous semidirect product | (C37⋊C3)⋊(C3×C81) |
| derived, Sylow | C37 ⋊ C32×C81 |
188 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
1053 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4396);