Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 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. #10623089 | C2 | semidirect |
| 2. C4×C11×D8 | C2 | semidirect |
| 3. #10622770 | C2 | semidirect |
| 4. #10622770 | C2 | semidirect |
| 5. #10622622 | C2 | semidirect |
| 6. #10622493 | C2 | semidirect |
| 7. D11×#107 | C2 | semidirect |
| 8. #10622392 | C2 | semidirect |
| 9. #10622390 | C2 | semidirect |
| 10. C8×D44 | C2 | semidirect |
| 11. #10622296 | C2 | semidirect |
| 103. C4×D8 | 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 |
|---|---|
| #10623089 | 2 |
| C4×C11×D8 | 2 |
| #10622770 | 2 |
| #10622622 | 2 |
| #10622493 | 2 |
| D11×#107 | 2 |
| #10622392 | 2 |
| #10622390 | 2 |
| C8×D44 | 2 |
| #10622296 | 2 |
| #3339 | 11 |