Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13123823 | C2 | semidirect |
| 3. #13113278 | C2 | semidirect |
| 4. #13113176 | C2 | semidirect |
| 5. #13112748 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#1535 | C2 | semidirect |
| 139. #1535 | D13 | semidirect |
| 340. C13 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124970 | 2 |
| #13123823 | 2 |
| #13113278 | 2 |
| #13113176 | 2 |
| #13112748 | 2 |
| #13112707 | 2 |
| C13×#1535 | 2 |
| #9532 | 13 |