Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. D13×C4⋊Q8 | C2 | semidirect |
| 3. C13×#489 | C2 | semidirect |
| 4. #11718750 | C2 | semidirect |
| 5. #11718716 | C2 | semidirect |
| 6. #11718464 | C2 | semidirect |
| 7. #11718453 | C2 | semidirect |
| 8. #11718432 | C2 | semidirect |
| 9. #11718421 | C2 | semidirect |
| 10. #11718375 | C2 | semidirect |
| 11. #11718368 | C2 | semidirect |
| 120. #489 | D13 | semidirect |
| 222. C13 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| #11719373 | 2 |
| C13×#489 | 2 |
| #11718750 | 2 |
| #11718716 | 2 |
| #11718464 | 2 |
| #11718453 | 2 |
| #11718432 | 2 |
| #11718421 | 2 |
| #11718375 | 2 |
| #11718368 | 2 |
| #3141 | 13 |