Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
590 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 1. #13125349 | C2 | semidirect |
| 3. #13117081 | C2 | semidirect |
| 4. #13117079 | C2 | semidirect |
| 5. #13117078 | C2 | semidirect |
| 6. #13117074 | C2 | semidirect |
| 7. #13116542 | C2 | semidirect |
| 8. D13×#346 | C2 | semidirect |
| 9. C13×#2245 | C2 | semidirect |
| 111. #2245 | D13 | semidirect |
| 255. C13 | #33701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125349 | 2 |
| #13125265 | 2 |
| #13117081 | 2 |
| #13117079 | 2 |
| #13117078 | 2 |
| #13117074 | 2 |
| #13116542 | 2 |
| D13×#346 | 2 |
| C13×#2245 | 2 |
| #33701 | 13 |