Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13116583 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116565 | C2 | semidirect |
| 5. #13115624 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 62. #88059 | D4 | semidirect |
| 122. C2×#361 | D13 | semidirect |
| 292. C13 | #13417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125317 | 2 |
| #13116583 | 2 |
| C2×#11718155 | 2 |
| #13116565 | 2 |
| #13115624 | 2 |
| #13112923 | 2 |
| C2×C13×#361 | 2 |
| #13417 | 13 |