Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#66989 | C2 | semidirect |
| 3. C22×#4314 | C2 | semidirect |
| 4. C2×#66946 | C2 | semidirect |
| 5. C2×C11×#102 | C2 | semidirect |
| 6. C2×Dic11⋊C8 | C2 | semidirect |
| 7. C2×#66874 | C2 | semidirect |
| 8. #10622400 | C2 | direct (N × H) |
| 18. #66989 | C22 | semidirect |
| 25. C2×#4314 | C22 | semidirect |
| 27. #66946 | C22 | semidirect |
| 28. C11×#102 | C22 | semidirect |
| 29. Dic11⋊C8 | C22 | semidirect |
| 30. #66874 | C22 | semidirect |
| 106. C2×#102 | D11 | semidirect |
| 147. #102 | C2×D11 | semidirect |
| 149. C2×C11 | #463 | semidirect |
| 188. C11 | C2×#463 | semidirect |
| 243. C2 | #10622400 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66989 | 2 |
| C22×#4323 | 2 |
| C22×#4314 | 2 |
| C2×#66946 | 2 |
| C2×C11×#102 | 2 |
| C2×Dic11⋊C8 | 2 |
| C2×#66874 | 2 |
| #10622400 | 2 |
| C2×#463 | 11 |