Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
406 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 1. #10623115 | C2 | semidirect |
| 2. #10623108 | C2 | semidirect |
| 3. C11×#446 | C2 | semidirect |
| 4. #10622461 | C2 | semidirect |
| 5. #10622457 | C2 | semidirect |
| 6. #10622456 | C2 | semidirect |
| 7. #10622454 | C2 | semidirect |
| 8. #10622325 | C2 | semidirect |
| 9. #10622323 | C2 | semidirect |
| 10. #10622306 | C2 | semidirect |
| 11. C4×D88 | C2 | semidirect |
| 107. C8×C11 | #41 | semidirect |
| 116. #446 | D11 | semidirect |
| 209. C11 | #3397 | semidirect |
| 239. C8 | #4343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623115 | 2 |
| #10623108 | 2 |
| C11×#446 | 2 |
| #10622461 | 2 |
| #10622457 | 2 |
| #10622456 | 2 |
| #10622454 | 2 |
| #10622325 | 2 |
| #10622323 | 2 |
| #10622306 | 2 |
| C4×D88 | 2 |
| #3397 | 11 |