Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10623063 | C2 | semidirect |
| 2. C11×#427 | C2 | semidirect |
| 3. #10622728 | C2 | semidirect |
| 4. C8×C22⋊D11 | C2 | semidirect |
| 5. #10622616 | C2 | semidirect |
| 6. #10622496 | C2 | semidirect |
| 7. #10622493 | C2 | semidirect |
| 8. #10622487 | C2 | semidirect |
| 9. #10622485 | C2 | semidirect |
| 10. #10622483 | C2 | semidirect |
| 11. #10622479 | C2 | semidirect |
| 106. #427 | D11 | semidirect |
| 189. C11 | #3341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623063 | 2 |
| C11×#427 | 2 |
| #10622728 | 2 |
| C8×C22⋊D11 | 2 |
| #10622616 | 2 |
| #10622496 | 2 |
| #10622493 | 2 |
| #10622487 | 2 |
| #10622485 | 2 |
| #10622483 | 2 |
| #10622479 | 2 |
| #3341 | 11 |