Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 538 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. #13114593 | C2 | semidirect |
| 4. #13112662 | C2 | semidirect |
| 5. #13112656 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#1272 | C2 | semidirect |
| 127. #1272 | D13 | semidirect |
| 346. C13 | #7670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123140 | 2 |
| #13114903 | 2 |
| #13114593 | 2 |
| #13112662 | 2 |
| #13112656 | 2 |
| C13×#1272 | 2 |
| #7670 | 13 |