Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
382 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 382 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×#486 | C2 | semidirect |
| 4. #10622700 | C2 | semidirect |
| 5. #10622688 | C2 | semidirect |
| 6. #10622377 | C2 | semidirect |
| 7. #10622376 | C2 | semidirect |
| 8. #10622375 | C2 | semidirect |
| 9. #10622370 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622292 | C2 | semidirect |
| 99. Dic22 | #41 | semidirect |
| 106. #486 | D11 | semidirect |
| 198. C11 | #3368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623252 | 2 |
| #10623249 | 2 |
| C11×#486 | 2 |
| #10622700 | 2 |
| #10622688 | 2 |
| #10622377 | 2 |
| #10622376 | 2 |
| #10622375 | 2 |
| #10622370 | 2 |
| C4×#4314 | 2 |
| #10622292 | 2 |
| #3368 | 11 |