Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
468 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116508 | C2 | semidirect |
| 2. #13116486 | C2 | semidirect |
| 3. #13114882 | C2 | semidirect |
| 4. #13114636 | C2 | semidirect |
| 6. C22×C13×D8 | C4 | semidirect |
| 13. C13×#427 | C4 | semidirect |
| 14. C13×#418 | C4 | semidirect |
| 148. C22×D8 | Dic13 | semidirect |
| 156. #427 | Dic13 | semidirect |
| 157. #418 | Dic13 | semidirect |
| 275. C13 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116508 | 2 |
| #13116486 | 2 |
| #13114882 | 2 |
| #13114636 | 2 |
| C13×#3058 | 2 |
| #13231 | 13 |