Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#22582708 |
| Fitting | C3×C27×C37 ⋊ C9 |
| Sylow | C37 ⋊ C3×#6875 |
212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
429 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4315);