Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #11719450 | C2 | semidirect |
| 3. C13×#408 | C2 | semidirect |
| 4. #11718897 | C2 | semidirect |
| 5. #11718774 | C2 | semidirect |
| 6. #11718148 | C2 | semidirect |
| 7. #11718144 | C2 | semidirect |
| 15. #88196 | C4 | semidirect |
| 16. #88186 | C4 | semidirect |
| 102. #408 | D13 | semidirect |
| 183. C13 | #1881 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719527 | 2 |
| #11719450 | 2 |
| C13×#408 | 2 |
| #11718897 | 2 |
| #11718774 | 2 |
| #11718148 | 2 |
| #11718144 | 2 |
| #1881 | 13 |