Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
322 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11718843 | C2 | semidirect |
| 7. #11718518 | C2 | semidirect |
| 8. #11718460 | C2 | semidirect |
| 9. #11718454 | C2 | semidirect |
| 161. C13 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719330 | 2 |
| C13×#470 | 2 |
| #11718843 | 2 |
| #11718798 | 2 |
| #11718780 | 2 |
| #11718712 | 2 |
| #11718518 | 2 |
| #11718460 | 2 |
| #11718454 | 2 |
| #3261 | 13 |