Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
340 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 2. #11719272 | C2 | semidirect |
| 3. C13×#477 | C2 | semidirect |
| 4. #11718754 | C2 | semidirect |
| 7. #11718538 | C2 | semidirect |
| 9. #11718492 | C2 | semidirect |
| 11. #11718458 | C2 | semidirect |
| 103. #477 | D13 | semidirect |
| 189. C13 | #3372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719435 | 2 |
| #11719272 | 2 |
| C13×#477 | 2 |
| #11718754 | 2 |
| C4×#6106 | 2 |
| #11718550 | 2 |
| #11718538 | 2 |
| #11718502 | 2 |
| #11718492 | 2 |
| #11718479 | 2 |
| #11718458 | 2 |
| #3372 | 13 |