Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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×#532 | C2 | semidirect |
| 2. C2×#67002 | C2 | semidirect |
| 3. C2×C4×D44 | C2 | semidirect |
| 4. #10622845 | C2 | semidirect |
| 5. #10622696 | C2 | semidirect |
| 6. #10622685 | C2 | semidirect |
| 7. #10622670 | C2 | semidirect |
| 8. #10622537 | C2 | semidirect |
| 12. C11×C4⋊Q8 | C22 | semidirect |
| 13. C11×#127 | C22 | semidirect |
| 14. C11×#124 | C22 | semidirect |
| 30. #66899 | C22 | semidirect |
| 31. #66896 | C22 | semidirect |
| 32. C4⋊(C11⋊C8) | C22 | semidirect |
| 33. C4⋊(C11⋊C8) | C22 | semidirect |
| 49. C2×D44 | D4 | semidirect |
| 105. #532 | D11 | semidirect |
| 128. C4×C11 | AGL(1,ℤ/8) | semidirect |
| 139. C4⋊Q8 | C2×D11 | semidirect |
| 140. #127 | C2×D11 | semidirect |
| 141. #124 | C2×D11 | semidirect |
| 199. C11 | #3036 | semidirect |
| 250. C4 | #67002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#532 | 2 |
| C2×#67002 | 2 |
| C2×C4×D44 | 2 |
| #10622845 | 2 |
| #10622696 | 2 |
| #10622685 | 2 |
| #10622670 | 2 |
| #10622537 | 2 |
| #3036 | 11 |