Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13117118 | C2 | semidirect |
| 4. #13114231 | C2 | semidirect |
| 5. #13112895 | C2 | semidirect |
| 6. #13112816 | C2 | semidirect |
| 60. C13×D8 | Q16 | semidirect |
| 182. D8 | Dic52 | semidirect |
| 202. C13 | #12407 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127701 | 2 |
| #13117118 | 2 |
| #13116973 | 2 |
| #13114231 | 2 |
| #13112895 | 2 |
| #13112816 | 2 |
| C13×#1331 | 2 |
| #12407 | 13 |