Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13114903 | C2 | semidirect |
| 3. #13114597 | C2 | semidirect |
| 4. #13112657 | C2 | semidirect |
| 5. #13112656 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#1270 | C2 | semidirect |
| 145. #1270 | D13 | semidirect |
| 392. C13 | #7704 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123180 | 2 |
| #13114903 | 2 |
| #13114597 | 2 |
| #13112657 | 2 |
| #13112656 | 2 |
| C13×#1270 | 2 |
| #7704 | 13 |