Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
160 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 49 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. #13113041 | C2 | semidirect |
| 4. #13113030 | C2 | semidirect |
| 5. #13113028 | C2 | semidirect |
| 7. C13×#1426 | C2 | semidirect |
| 58. #1426 | D13 | semidirect |
| 133. C13 | #13718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116945 | 2 |
| #13116629 | 2 |
| #13113041 | 2 |
| #13113030 | 2 |
| #13113028 | 2 |
| #13112975 | 2 |
| C13×#1426 | 2 |
| #13718 | 13 |