Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
396 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×C8×Dic11 | C2 | semidirect |
| 4. C4⋊C4×Dic11 | C2 | semidirect |
| 6. C11×#340 | C2 | semidirect |
| 7. #10622167 | C2 | semidirect |
| 19. #66946 | C4 | semidirect |
| 21. #66885 | C4 | semidirect |
| 23. #66873 | C4 | semidirect |
| 42. C2×C8×C11 | C2×C4 | semidirect |
| 46. C11×C4⋊C4 | C2×C4 | semidirect |
| 49. C4⋊Dic11 | C2×C4 | semidirect |
| 55. C2×C11⋊C8 | C2×C4 | semidirect |
| 89. D44 | C42 | semidirect |
| 99. #340 | D11 | semidirect |
| 122. Dic11 | #102 | semidirect |
| 168. C2×C8 | C4×D11 | semidirect |
| 174. C4⋊C4 | C4×D11 | semidirect |
| 179. C11 | C4×#102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66946 | 2 |
| C2×#66885 | 2 |
| C2×C8×Dic11 | 2 |
| C4⋊C4×Dic11 | 2 |
| C2×#66873 | 2 |
| C11×#340 | 2 |
| #10622167 | 2 |
| C4×#102 | 11 |