Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic13 | C2 | semidirect |
| 3. #11718893 | C2 | semidirect |
| 4. #11718868 | C2 | semidirect |
| 5. #11718705 | C2 | semidirect |
| 6. #11718704 | C2 | semidirect |
| 7. #11718695 | C2 | semidirect |
| 8. #11718694 | C2 | semidirect |
| 9. #11718656 | C2 | semidirect |
| 29. #88075 | C22 | semidirect |
| 30. #88072 | C22 | semidirect |
| 33. #88048 | C22 | semidirect |
| 34. #88047 | C22 | semidirect |
| 200. C13 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#525 | 2 |
| C22×C4⋊Dic13 | 2 |
| #11718893 | 2 |
| #11718868 | 2 |
| #11718705 | 2 |
| #11718704 | 2 |
| #11718695 | 2 |
| #11718694 | 2 |
| #11718656 | 2 |
| #3092 | 13 |