Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
344 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 105 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. C11×#384 | C2 | semidirect |
| 3. C2×#66874 | C2 | semidirect |
| 5. C2×#66867 | C2 | semidirect |
| 14. #66928 | C4 | semidirect |
| 68. #384 | D11 | semidirect |
| 124. C11 | #1959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66928 | 2 |
| C11×#384 | 2 |
| C2×#66874 | 2 |
| C2×#66873 | 2 |
| C2×#66867 | 2 |
| #1959 | 11 |