Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
508 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 3. #11718890 | C2 | semidirect |
| 5. #11718645 | C2 | semidirect |
| 6. #11718643 | C2 | semidirect |
| 40. C22×Dic13 | Q8 | semidirect |
| 153. C13 | #2627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×C22⋊Q8 | 2 |
| C22×#6101 | 2 |
| #11718890 | 2 |
| #11718873 | 2 |
| #11718645 | 2 |
| #11718643 | 2 |
| #11718607 | 2 |
| #11718604 | 2 |
| #2627 | 13 |