Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 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. #10623253 | C2 | semidirect |
| 3. C11×#477 | C2 | semidirect |
| 5. C4×#4326 | C2 | semidirect |
| 6. #10622503 | C2 | semidirect |
| 7. #10622502 | C2 | semidirect |
| 9. #10622444 | C2 | semidirect |
| 10. #10622411 | C2 | semidirect |
| 11. #10622408 | C2 | semidirect |
| 104. #477 | D11 | semidirect |
| 191. C11 | #3375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623253 | 2 |
| #10623116 | 2 |
| C11×#477 | 2 |
| #10622701 | 2 |
| C4×#4326 | 2 |
| #10622503 | 2 |
| #10622502 | 2 |
| #10622461 | 2 |
| #10622444 | 2 |
| #10622411 | 2 |
| #10622408 | 2 |
| #3375 | 11 |