Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13116631 | C2 | semidirect |
| 4. #108×Dic13 | C2 | semidirect |
| 5. #13112949 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 18. C13×#362 | C4 | semidirect |
| 19. C13×#361 | C4 | semidirect |
| 142. #362 | Dic13 | semidirect |
| 143. #361 | Dic13 | semidirect |
| 236. C13 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116631 | 2 |
| #13116564 | 2 |
| #13115725 | 2 |
| #108×Dic13 | 2 |
| #13112949 | 2 |
| #13112917 | 2 |
| C13×#2148 | 2 |
| #13137 | 13 |