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. C11×#535 | C2 | semidirect |
| 2. C2×#67003 | C2 | semidirect |
| 3. C2×#66985 | C2 | semidirect |
| 4. #10623054 | C2 | semidirect |
| 5. #10622845 | C2 | semidirect |
| 6. C2×#66896 | C2 | semidirect |
| 7. #10622688 | C2 | semidirect |
| 8. #10622685 | C2 | semidirect |
| 9. #10622670 | C2 | semidirect |
| 10. #10622667 | C2 | semidirect |
| 11. #10622612 | C2 | semidirect |
| 22. C2×#4326 | C22 | semidirect |
| 23. C2×#4325 | C22 | semidirect |
| 25. C2×#4324 | C22 | semidirect |
| 28. C2×#4323 | C22 | semidirect |
| 35. C4×D44 | C22 | semidirect |
| 36. C4×Dic22 | C22 | semidirect |
| 37. #66899 | C22 | semidirect |
| 40. #66896 | C22 | semidirect |
| 41. C4⋊(C11⋊C8) | C22 | semidirect |
| 42. C4⋊(C11⋊C8) | C22 | semidirect |
| 60. #4339 | D4 | semidirect |
| 128. #535 | 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 |
|---|---|
| C11×#535 | 2 |
| C2×#67003 | 2 |
| C2×#66985 | 2 |
| #10623054 | 2 |
| #10622845 | 2 |
| C2×#66896 | 2 |
| #10622688 | 2 |
| #10622685 | 2 |
| #10622670 | 2 |
| #10622667 | 2 |
| #10622612 | 2 |
| #3045 | 11 |