Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
348 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 162 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. #11719158 | C2 | semidirect |
| 4. #11719078 | C2 | semidirect |
| 38. D13⋊C8 | Q8 | semidirect |
| 137. C13 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719433 | 2 |
| #11719158 | 2 |
| #11719079 | 2 |
| #11719078 | 2 |
| #11719072 | 2 |
| #11719053 | 2 |
| #11719047 | 2 |
| #2961 | 13 |