Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
202 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116694 | C2 | semidirect |
| 4. #13113037 | C2 | semidirect |
| 5. #13113018 | C2 | semidirect |
| 6. C32×Dic13 | C2 | semidirect |
| 15. #11718112 | C4 | semidirect |
| 34. Dic104 | C2×C4 | semidirect |
| 36. #88034 | C2×C4 | semidirect |
| 100. Dic13 | SD64 | semidirect |
| 140. C13 | C4×SD64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718112 | 2 |
| #13116694 | 2 |
| D16×Dic13 | 2 |
| #13113037 | 2 |
| #13113018 | 2 |
| C32×Dic13 | 2 |
| C13×#1415 | 2 |
| C4×SD64 | 13 |