Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 117 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. D13×#125 | C2 | semidirect |
| 3. C13×#490 | C2 | semidirect |
| 4. #11718732 | C2 | semidirect |
| 5. #11718730 | C2 | semidirect |
| 6. #11718432 | C2 | semidirect |
| 7. #11718429 | C2 | semidirect |
| 8. #11718368 | C2 | semidirect |
| 9. #11718364 | C2 | semidirect |
| 80. #490 | D13 | semidirect |
| 145. C13 | #3142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719421 | 2 |
| D13×#125 | 2 |
| C13×#490 | 2 |
| #11718732 | 2 |
| #11718730 | 2 |
| #11718432 | 2 |
| #11718429 | 2 |
| #11718368 | 2 |
| #11718364 | 2 |
| #3142 | 13 |