Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
564 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 177 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. #11718891 | C2 | semidirect |
| 5. #11718639 | C2 | semidirect |
| 6. #11718634 | C2 | semidirect |
| 40. C22×Dic13 | Q8 | semidirect |
| 154. C13 | #2855 | 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×C4×Dic13 | 2 |
| #11718891 | 2 |
| #11718873 | 2 |
| #11718639 | 2 |
| #11718634 | 2 |
| #11718607 | 2 |
| #11718604 | 2 |
| #2855 | 13 |