Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
326 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13116648 | C2 | semidirect |
| 3. #13112868 | C2 | semidirect |
| 4. C13×#2165 | C2 | semidirect |
| 16. C13×#347 | C22 | semidirect |
| 18. #11718058 | C22 | semidirect |
| 73. #2165 | D13 | semidirect |
| 111. #347 | C2×D13 | semidirect |
| 178. C13 | #11915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125211 | 2 |
| #13116648 | 2 |
| #13112868 | 2 |
| C13×#2165 | 2 |
| #11915 | 13 |