Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10623131 | C2 | semidirect |
| 3. #10622768 | C2 | semidirect |
| 4. #10622765 | C2 | semidirect |
| 5. #10622750 | C2 | semidirect |
| 6. M16×Dic11 | C2 | semidirect |
| 7. #10622655 | C2 | semidirect |
| 8. #10622471 | C2 | semidirect |
| 9. #10622466 | C2 | semidirect |
| 10. #10622381 | C2 | semidirect |
| 11. #10622370 | C2 | semidirect |
| 178. C11 | #3183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623131 | 2 |
| C11×#469 | 2 |
| #10622768 | 2 |
| #10622765 | 2 |
| #10622750 | 2 |
| M16×Dic11 | 2 |
| #10622655 | 2 |
| #10622471 | 2 |
| #10622466 | 2 |
| #10622381 | 2 |
| #10622370 | 2 |
| #3183 | 11 |