Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623229 | C2 | semidirect |
| 2. C11×#499 | C2 | semidirect |
| 3. #10622680 | C2 | semidirect |
| 4. #10622496 | C2 | semidirect |
| 5. #10622485 | C2 | semidirect |
| 6. #10622482 | C2 | semidirect |
| 7. #10622478 | C2 | semidirect |
| 8. #10622308 | C2 | semidirect |
| 9. #10622302 | C2 | semidirect |
| 70. #499 | D11 | semidirect |
| 134. C11 | #3176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623229 | 2 |
| C11×#499 | 2 |
| #10622680 | 2 |
| #10622496 | 2 |
| #10622485 | 2 |
| #10622482 | 2 |
| #10622478 | 2 |
| #10622308 | 2 |
| #10622302 | 2 |
| #3176 | 11 |