Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
388 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #10623074 | C2 | semidirect |
| 3. C11×#436 | C2 | semidirect |
| 4. #10622750 | C2 | semidirect |
| 5. #10622746 | C2 | semidirect |
| 6. #10622462 | C2 | semidirect |
| 7. #10622455 | C2 | semidirect |
| 8. #10622346 | C2 | semidirect |
| 9. #10622334 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622294 | C2 | semidirect |
| 114. #436 | D11 | semidirect |
| 202. C11 | #3331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623082 | 2 |
| #10623074 | 2 |
| C11×#436 | 2 |
| #10622750 | 2 |
| #10622746 | 2 |
| #10622462 | 2 |
| #10622455 | 2 |
| #10622346 | 2 |
| #10622334 | 2 |
| C4×#4314 | 2 |
| #10622294 | 2 |
| #3331 | 11 |