Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #10623213 | C2 | semidirect |
| 2. C11×#495 | C2 | semidirect |
| 3. #10622801 | C2 | semidirect |
| 4. Q16×Dic11 | C2 | semidirect |
| 5. #10622787 | C2 | semidirect |
| 6. #10622777 | C2 | semidirect |
| 8. D8×Dic11 | C2 | semidirect |
| 9. #10622668 | C2 | semidirect |
| 10. #10622302 | C2 | semidirect |
| 11. #10622295 | C2 | semidirect |
| 98. #495 | D11 | semidirect |
| 188. C11 | #3175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623213 | 2 |
| C11×#495 | 2 |
| #10622801 | 2 |
| Q16×Dic11 | 2 |
| #10622787 | 2 |
| #10622777 | 2 |
| #10622770 | 2 |
| D8×Dic11 | 2 |
| #10622668 | 2 |
| #10622302 | 2 |
| #10622295 | 2 |
| #3175 | 11 |