Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
682 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13116365 | C2 | semidirect |
| 3. #13116240 | C2 | semidirect |
| 4. #13112657 | C2 | semidirect |
| 5. #13112656 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#2071 | C2 | semidirect |
| 13. C13×#384 | C22 | semidirect |
| 23. C13×#336 | C22 | semidirect |
| 25. #11718116 | C22 | semidirect |
| 26. #11718116 | C22 | semidirect |
| 140. #2071 | D13 | semidirect |
| 222. #384 | C2×D13 | semidirect |
| 227. #336 | C2×D13 | semidirect |
| 386. C13 | #7786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121171 | 2 |
| #13116365 | 2 |
| #13116240 | 2 |
| #13112657 | 2 |
| #13112656 | 2 |
| C13×#2071 | 2 |
| #7786 | 13 |