Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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×#461 | C2 | semidirect |
| 5. #11718828 | C2 | semidirect |
| 6. #11718751 | C2 | semidirect |
| 7. #11718680 | C2 | semidirect |
| 8. #11718510 | C2 | semidirect |
| 9. #11718496 | C2 | semidirect |
| 10. #11718469 | C2 | semidirect |
| 11. #11718458 | C2 | semidirect |
| 123. #461 | D13 | semidirect |
| 223. C13 | #3218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| #11719262 | 2 |
| C13×#461 | 2 |
| #11718831 | 2 |
| #11718828 | 2 |
| #11718751 | 2 |
| #11718680 | 2 |
| #11718510 | 2 |
| #11718496 | 2 |
| #11718469 | 2 |
| #11718458 | 2 |
| #3218 | 13 |