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. C11×#532 | C2 | semidirect |
| 2. #10623010 | C2 | semidirect |
| 3. #10622707 | C2 | semidirect |
| 4. #10622700 | C2 | semidirect |
| 5. #10622688 | C2 | semidirect |
| 6. #10622685 | C2 | semidirect |
| 7. #10622655 | C2 | semidirect |
| 8. #10622652 | C2 | semidirect |
| 9. #10622629 | C2 | semidirect |
| 10. #10622622 | C2 | semidirect |
| 11. #10622537 | C2 | semidirect |
| 115. #532 | 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 |
|---|---|
| C11×#532 | 2 |
| #10623010 | 2 |
| #10622707 | 2 |
| #10622700 | 2 |
| #10622688 | 2 |
| #10622685 | 2 |
| #10622655 | 2 |
| #10622652 | 2 |
| #10622629 | 2 |
| #10622622 | 2 |
| #10622537 | 2 |
| #3251 | 11 |