Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623045 | C2 | semidirect |
| 2. C2×C11×#107 | C2 | semidirect |
| 3. #10622728 | C2 | semidirect |
| 4. C8×C22⋊D11 | C2 | semidirect |
| 5. #10622581 | C2 | semidirect |
| 6. #10622504 | C2 | semidirect |
| 7. #10622498 | C2 | semidirect |
| 8. #10622496 | C2 | semidirect |
| 9. #10622493 | C2 | semidirect |
| 10. #10622491 | C2 | semidirect |
| 11. #10622485 | C2 | semidirect |
| 106. C2×#107 | D11 | semidirect |
| 189. C11 | #3339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623045 | 2 |
| C2×C11×#107 | 2 |
| #10622728 | 2 |
| C8×C22⋊D11 | 2 |
| #10622581 | 2 |
| #10622504 | 2 |
| #10622498 | 2 |
| #10622496 | 2 |
| #10622493 | 2 |
| #10622491 | 2 |
| #10622485 | 2 |
| #3339 | 11 |