Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#66943 | C2 | semidirect |
| 3. C11×#417 | C2 | semidirect |
| 4. #10622845 | C2 | semidirect |
| 5. #10622746 | C2 | semidirect |
| 6. M16×Dic11 | C2 | semidirect |
| 7. #10622579 | C2 | semidirect |
| 8. #10622413 | C2 | semidirect |
| 9. #10622410 | C2 | semidirect |
| 10. #10622381 | C2 | semidirect |
| 11. #10622377 | C2 | semidirect |
| 129. #417 | D11 | semidirect |
| 230. C11 | #3142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623363 | 2 |
| C2×#66943 | 2 |
| C11×#417 | 2 |
| #10622845 | 2 |
| #10622746 | 2 |
| M16×Dic11 | 2 |
| #10622579 | 2 |
| #10622413 | 2 |
| #10622410 | 2 |
| #10622381 | 2 |
| #10622377 | 2 |
| #3142 | 11 |