Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
296 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13117075 | C2 | semidirect |
| 3. #13114361 | C2 | semidirect |
| 4. #13112880 | C2 | semidirect |
| 5. #13112817 | C2 | semidirect |
| 6. #13112803 | C2 | semidirect |
| 7. C13×#2224 | C2 | semidirect |
| 101. #2224 | D13 | semidirect |
| 244. C13 | #12388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127922 | 2 |
| #13117075 | 2 |
| #13114361 | 2 |
| #13112880 | 2 |
| #13112817 | 2 |
| #13112803 | 2 |
| C13×#2224 | 2 |
| #12388 | 13 |