Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 77 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. #13114955 | C2 | semidirect |
| 3. #13113529 | C2 | semidirect |
| 4. #13113345 | C2 | semidirect |
| 5. #13113344 | C2 | semidirect |
| 6. #13112705 | C2 | semidirect |
| 7. C13×#1551 | C2 | semidirect |
| 106. #1551 | D13 | semidirect |
| 266. C13 | #10513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126143 | 2 |
| #13114955 | 2 |
| #13113529 | 2 |
| #13113345 | 2 |
| #13113344 | 2 |
| #13112705 | 2 |
| C13×#1551 | 2 |
| #10513 | 13 |