Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 3. #13113474 | C2 | semidirect |
| 5. #13113180 | C2 | semidirect |
| 6. #13112698 | C2 | semidirect |
| 7. C13×#3104 | C2 | semidirect |
| 132. #3104 | D13 | semidirect |
| 317. C13 | #10041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125843 | 2 |
| #13124958 | 2 |
| #13113474 | 2 |
| #13113306 | 2 |
| #13113180 | 2 |
| #13112698 | 2 |
| C13×#3104 | 2 |
| #10041 | 13 |