Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13114569 | C2 | semidirect |
| 2. #13113150 | C2 | semidirect |
| 3. #13112833 | C2 | semidirect |
| 5. C2×C13×#127 | C4 | semidirect |
| 10. C13×#394 | C4 | semidirect |
| 14. C13×#382 | C4 | semidirect |
| 146. C2×#127 | Dic13 | semidirect |
| 152. #394 | Dic13 | semidirect |
| 156. #382 | Dic13 | semidirect |
| 272. C13 | #11693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114569 | 2 |
| #13113150 | 2 |
| #13112833 | 2 |
| C13×#2619 | 2 |
| #11693 | 13 |