Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
312 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 1. #13113625 | C2 | semidirect |
| 5. #13113119 | C2 | semidirect |
| 6. #13112726 | C2 | semidirect |
| 7. C13×#1278 | C2 | semidirect |
| 99. #1278 | D13 | semidirect |
| 240. C13 | #9586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113625 | 2 |
| #13113496 | 2 |
| #13113288 | 2 |
| #13113254 | 2 |
| #13113119 | 2 |
| #13112726 | 2 |
| C13×#1278 | 2 |
| #9586 | 13 |