Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 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×#529 | C2 | semidirect |
| 2. #10623008 | C2 | semidirect |
| 3. #10622680 | C2 | semidirect |
| 4. #10622678 | C2 | semidirect |
| 5. #10622671 | C2 | semidirect |
| 6. #10622668 | C2 | semidirect |
| 7. #10622662 | C2 | semidirect |
| 8. #10622652 | C2 | semidirect |
| 9. C4×#4325 | C2 | semidirect |
| 10. C4×#4323 | C2 | semidirect |
| 11. C4×#4318 | C2 | semidirect |
| 111. C11⋊C8 | #41 | semidirect |
| 113. #529 | D11 | semidirect |
| 219. C11 | #3171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#529 | 2 |
| #10623008 | 2 |
| #10622680 | 2 |
| #10622678 | 2 |
| #10622671 | 2 |
| #10622668 | 2 |
| #10622662 | 2 |
| #10622652 | 2 |
| C4×#4325 | 2 |
| C4×#4323 | 2 |
| C4×#4318 | 2 |
| #3171 | 11 |