Finite Group DatabasebetaFinite Group Databasebeta| order | 1404 |
| isoclinism | isoclinic class of C22⋊(C13⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C9×C22⋊(C13⋊C3) |
| Fitting | C22×C9×C13 ⋊ C3 |
| derived, Hall | C22×C13 ⋊ C3×C9 |
| Sylow | C13 ⋊ C9×A4 |
| Sylow | C22 ⋊ C9×C13⋊C3 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 468 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1404, 136);