Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 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. C13×#499 | C2 | semidirect |
| 3. #11718730 | C2 | semidirect |
| 5. #11718534 | C2 | semidirect |
| 7. #11718514 | C2 | semidirect |
| 8. #11718360 | C2 | semidirect |
| 67. #499 | D13 | semidirect |
| 128. C13 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719402 | 2 |
| C13×#499 | 2 |
| #11718730 | 2 |
| #11718548 | 2 |
| #11718534 | 2 |
| #11718529 | 2 |
| #11718514 | 2 |
| #11718360 | 2 |
| #11718350 | 2 |
| #3177 | 13 |