Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13114824 | C2 | semidirect |
| 2. #13113174 | C2 | semidirect |
| 3. #13112857 | C2 | semidirect |
| 4. #13112833 | C2 | semidirect |
| 6. C2×C13×#124 | C4 | semidirect |
| 9. C13×#393 | C4 | semidirect |
| 12. C13×#392 | C4 | semidirect |
| 16. C13×#383 | C4 | semidirect |
| 168. C2×#124 | Dic13 | semidirect |
| 173. #393 | Dic13 | semidirect |
| 176. #392 | Dic13 | semidirect |
| 180. #383 | Dic13 | semidirect |
| 312. C13 | #11825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| #13113174 | 2 |
| #13112857 | 2 |
| #13112833 | 2 |
| C13×#2631 | 2 |
| #11825 | 13 |