Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 121 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. #10623010 | C2 | semidirect |
| 2. #10623008 | C2 | semidirect |
| 3. C11×#423 | C2 | semidirect |
| 4. #10622748 | C2 | semidirect |
| 5. #10622747 | C2 | semidirect |
| 6. #10622464 | C2 | semidirect |
| 7. #10622461 | C2 | semidirect |
| 8. #10622460 | C2 | semidirect |
| 9. #10622459 | C2 | semidirect |
| 10. #10622457 | C2 | semidirect |
| 11. #10622456 | C2 | semidirect |
| 125. #423 | D11 | semidirect |
| 223. C11 | #3251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623010 | 2 |
| #10623008 | 2 |
| C11×#423 | 2 |
| #10622748 | 2 |
| #10622747 | 2 |
| #10622464 | 2 |
| #10622461 | 2 |
| #10622460 | 2 |
| #10622459 | 2 |
| #10622457 | 2 |
| #10622456 | 2 |
| #3251 | 11 |