Finite Group DatabasebetaFinite Group Databasebeta| order | 1323 |
| isoclinism | isoclinic class of #4427 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#4427 |
| Fitting | C72×C9 ⋊ C3 |
| Sylow | C72 ⋊ 3−1+2 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 189 |
203 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1323, 28);