Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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. C13×#499 | C2 | semidirect |
| 3. #11718724 | C2 | semidirect |
| 4. #11718549 | C2 | semidirect |
| 5. #11718545 | C2 | semidirect |
| 6. #11718529 | C2 | semidirect |
| 7. #11718522 | C2 | semidirect |
| 8. C4×Dic52 | C2 | semidirect |
| 81. #499 | D13 | semidirect |
| 157. C13 | #3352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719399 | 2 |
| C13×#499 | 2 |
| #11718724 | 2 |
| #11718549 | 2 |
| #11718545 | 2 |
| #11718529 | 2 |
| #11718522 | 2 |
| C4×Dic52 | 2 |
| #11718349 | 2 |
| #3352 | 13 |