Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #10623252 | C2 | semidirect |
| 3. C11×#462 | C2 | semidirect |
| 4. #10622803 | C2 | semidirect |
| 5. #10622798 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 9. #10622444 | C2 | semidirect |
| 10. #10622431 | C2 | semidirect |
| 11. #10622430 | C2 | semidirect |
| 108. #462 | D11 | semidirect |
| 197. C11 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623252 | 2 |
| #10623116 | 2 |
| C11×#462 | 2 |
| #10622803 | 2 |
| #10622798 | 2 |
| #10622698 | 2 |
| C4×#4326 | 2 |
| #10622461 | 2 |
| #10622444 | 2 |
| #10622431 | 2 |
| #10622430 | 2 |
| #3400 | 11 |