Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
308 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 104 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. Dic3×#733 | C2 | direct (N × H) |
| 6. C2×C3×#733 | C4 | semidirect |
| 16. C3×#733 | C2×C4 | semidirect |
| 30. C2×#733 | Dic3 | direct (N × H) |
| 50. #733 | C2×Dic3 | direct (N × H) |
| 99. C2×Dic3 | #733 | direct (N × H) |
| 125. Dic3 | C2×#733 | direct (N × H) |
| 142. C2×C3 | C4×#733 | semidirect |
| 151. C3 | C2×C4×#733 | semidirect |
| 153. C2 | Dic3×#733 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×#733 | 2 |
| Dic3×#733 | 2 |
| C2×Dic3×3−1+2 | 3 |
| C2×C3×C9×Dic3 | 3 |
| C2×C4×#733 | 3 |