Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#66961 | C2 | semidirect |
| 2. C2×#66957 | C2 | semidirect |
| 3. #10623056 | C2 | semidirect |
| 4. #10623054 | C2 | semidirect |
| 5. C11×#424 | C2 | semidirect |
| 6. #10622746 | C2 | semidirect |
| 7. C2×#66885 | C2 | semidirect |
| 8. #10622461 | C2 | semidirect |
| 9. #10622458 | C2 | semidirect |
| 10. #10622457 | C2 | semidirect |
| 11. #10622456 | C2 | semidirect |
| 20. C2×Dic44 | C22 | semidirect |
| 23. C2×D88 | C22 | semidirect |
| 25. C2×#4314 | C22 | semidirect |
| 26. C2×#4314 | C22 | semidirect |
| 35. C4×D44 | C22 | semidirect |
| 36. C4×Dic22 | C22 | semidirect |
| 37. C11×C4⋊C8 | C22 | semidirect |
| 38. C11×C4⋊C8 | C22 | semidirect |
| 41. #66885 | C22 | semidirect |
| 42. #66880 | C22 | semidirect |
| 51. #4339 | D4 | semidirect |
| 134. #424 | D11 | semidirect |
| 184. C4⋊C8 | C2×D11 | semidirect |
| 185. C4⋊C8 | C2×D11 | semidirect |
| 241. C11 | #3045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66961 | 2 |
| C2×#66957 | 2 |
| #10623056 | 2 |
| #10623054 | 2 |
| C11×#424 | 2 |
| #10622746 | 2 |
| C2×#66885 | 2 |
| #10622461 | 2 |
| #10622458 | 2 |
| #10622457 | 2 |
| #10622456 | 2 |
| #3045 | 11 |