Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
410 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. C11×#419 | C2 | semidirect |
| 4. #10622838 | C2 | semidirect |
| 6. #10622734 | C2 | semidirect |
| 7. #10622608 | C2 | semidirect |
| 8. #10622428 | C2 | semidirect |
| 9. #10622427 | C2 | semidirect |
| 10. #10622422 | C2 | semidirect |
| 11. #10622418 | C2 | semidirect |
| 33. C11×#103 | C22 | semidirect |
| 34. C11×#103 | C22 | semidirect |
| 35. #66899 | C22 | semidirect |
| 36. #66899 | C22 | semidirect |
| 39. #66882 | C22 | semidirect |
| 40. #66881 | C22 | semidirect |
| 41. #66872 | C22 | semidirect |
| 42. #66871 | C22 | semidirect |
| 128. #419 | D11 | semidirect |
| 179. #103 | C2×D11 | semidirect |
| 180. #103 | C2×D11 | semidirect |
| 230. C11 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66999 | 2 |
| D11×#117 | 2 |
| C11×#419 | 2 |
| #10622838 | 2 |
| #10622739 | 2 |
| #10622734 | 2 |
| #10622608 | 2 |
| #10622428 | 2 |
| #10622427 | 2 |
| #10622422 | 2 |
| #10622418 | 2 |
| #3095 | 11 |