Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. D13×Q32 | C2 | semidirect |
| 3. C13×SD64 | C2 | semidirect |
| 4. #11718114 | C2 | semidirect |
| 5. #11718112 | C2 | semidirect |
| 6. Dic208 | C2 | semidirect |
| 7. #11718039 | C2 | semidirect |
| 47. SD64 | D13 | semidirect |
| 81. C13 | #2264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×Q32 | 2 |
| #11718573 | 2 |
| C13×SD64 | 2 |
| #11718114 | 2 |
| #11718112 | 2 |
| Dic208 | 2 |
| #11718039 | 2 |
| #2264 | 13 |