Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
570 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 570 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. #13114815 | C2 | semidirect |
| 3. #13114528 | C2 | semidirect |
| 4. #13112661 | C2 | semidirect |
| 5. #13112661 | C2 | semidirect |
| 6. #13112657 | C2 | semidirect |
| 7. C13×#1270 | C2 | semidirect |
| 132. #1270 | D13 | semidirect |
| 352. C13 | #7710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123136 | 2 |
| #13114815 | 2 |
| #13114528 | 2 |
| #13112661 | 2 |
| #13112657 | 2 |
| C13×#1270 | 2 |
| #7710 | 13 |