Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114966 | C2 | semidirect |
| 3. #13113582 | C2 | semidirect |
| 6. #13112696 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 18. #11718499 | C4 | semidirect |
| 20. #11718495 | C4 | semidirect |
| 112. #1286 | D13 | semidirect |
| 273. C13 | #8678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123547 | 2 |
| #13114966 | 2 |
| #13113582 | 2 |
| #13113397 | 2 |
| #13113395 | 2 |
| #13112696 | 2 |
| C13×#1286 | 2 |
| #8678 | 13 |