Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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×#476 | C2 | semidirect |
| 4. #11718745 | C2 | semidirect |
| 5. #11718669 | C2 | semidirect |
| 6. #11718524 | C2 | semidirect |
| 7. #11718516 | C2 | semidirect |
| 8. #11718503 | C2 | semidirect |
| 9. #11718494 | C2 | semidirect |
| 10. #11718438 | C2 | semidirect |
| 11. #11718421 | C2 | semidirect |
| 124. #476 | D13 | semidirect |
| 221. C13 | #3227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| #11719253 | 2 |
| C13×#476 | 2 |
| #11718745 | 2 |
| #11718669 | 2 |
| #11718524 | 2 |
| #11718516 | 2 |
| #11718503 | 2 |
| #11718494 | 2 |
| #11718438 | 2 |
| #11718421 | 2 |
| #3227 | 13 |