Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
374 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 2. #10623073 | C2 | semidirect |
| 3. C11×#436 | C2 | semidirect |
| 4. #10622747 | C2 | semidirect |
| 5. #10622734 | C2 | semidirect |
| 6. #10622464 | C2 | semidirect |
| 7. #10622459 | C2 | semidirect |
| 8. #10622350 | C2 | semidirect |
| 9. #10622335 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622295 | C2 | semidirect |
| 100. C8×C11 | #41 | semidirect |
| 110. #436 | D11 | semidirect |
| 196. C11 | #3353 | semidirect |
| 222. C8 | #4341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623086 | 2 |
| #10623073 | 2 |
| C11×#436 | 2 |
| #10622747 | 2 |
| #10622734 | 2 |
| #10622464 | 2 |
| #10622459 | 2 |
| #10622350 | 2 |
| #10622335 | 2 |
| C4×#4314 | 2 |
| #10622295 | 2 |
| #3353 | 11 |