Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11718755 | C2 | semidirect |
| 4. #11718752 | C2 | semidirect |
| 5. #11718724 | C2 | semidirect |
| 6. #11718724 | C2 | semidirect |
| 47. C2×Dic26 | Q8 | semidirect |
| 191. C13 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#544 | 2 |
| #11719221 | 2 |
| #11718755 | 2 |
| #11718752 | 2 |
| #11718724 | 2 |
| #11718665 | 2 |
| #11718660 | 2 |
| #11718659 | 2 |
| C2×#88050 | 2 |
| #11718625 | 2 |
| #3082 | 13 |