Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C33 |
| direct product | C3×#22582686 |
| Fitting | C3×C27×C37 ⋊ C9 |
| Sylow | C37 ⋊ C3×#6864 |
332 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
621 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4236);