Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
400 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 181 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. C4×C11×M16 | C2 | semidirect |
| 4. #10622732 | C2 | semidirect |
| 5. C2×C4×C11⋊C8 | C2 | semidirect |
| 6. #10622322 | C2 | semidirect |
| 7. #10622298 | C2 | semidirect |
| 68. C4×M16 | D11 | semidirect |
| 122. C11 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4339 | 2 |
| C4×C11×M16 | 2 |
| #10622742 | 2 |
| #10622732 | 2 |
| C2×C4×C11⋊C8 | 2 |
| #10622322 | 2 |
| #10622298 | 2 |
| #2922 | 11 |