Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 1. #11719313 | C2 | semidirect |
| 2. C13×#466 | C2 | semidirect |
| 3. #11718819 | C2 | semidirect |
| 4. #11718777 | C2 | semidirect |
| 5. #11718771 | C2 | semidirect |
| 6. #11718703 | C2 | semidirect |
| 7. #11718545 | C2 | semidirect |
| 8. #11718444 | C2 | semidirect |
| 9. #11718435 | C2 | semidirect |
| 102. #466 | D13 | semidirect |
| 187. C13 | #3203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719313 | 2 |
| C13×#466 | 2 |
| #11718819 | 2 |
| #11718777 | 2 |
| #11718771 | 2 |
| #11718703 | 2 |
| #11718545 | 2 |
| #11718444 | 2 |
| #11718435 | 2 |
| #3203 | 13 |