Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
360 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. C2×Dic11⋊C8 | C2 | semidirect |
| 3. #10622601 | C2 | semidirect |
| 4. C2×#66873 | C2 | semidirect |
| 5. C11×#340 | C2 | semidirect |
| 59. C2×Dic11 | D8 | semidirect |
| 70. #340 | D11 | semidirect |
| 128. C11 | #2054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D88 | 2 |
| C2×Dic11⋊C8 | 2 |
| #10622601 | 2 |
| C2×#66873 | 2 |
| C11×#340 | 2 |
| #2054 | 11 |