Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
400 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 4. #10622732 | C2 | semidirect |
| 5. M16×Dic11 | C2 | semidirect |
| 6. #10622715 | C2 | semidirect |
| 7. C2×C8×Dic11 | C2 | semidirect |
| 8. #10622333 | C2 | semidirect |
| 9. #10622331 | C2 | semidirect |
| 149. C11 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×Dic11 | 2 |
| C11×#408 | 2 |
| #10622847 | 2 |
| #10622732 | 2 |
| M16×Dic11 | 2 |
| #10622715 | 2 |
| C2×C8×Dic11 | 2 |
| #10622333 | 2 |
| #10622331 | 2 |
| #2922 | 11 |