Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
356 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. C11×#477 | C2 | semidirect |
| 4. #10622691 | C2 | semidirect |
| 5. C4×#4326 | C2 | semidirect |
| 6. #10622497 | C2 | semidirect |
| 7. D11×#107 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 10. #10622426 | C2 | semidirect |
| 11. #10622422 | C2 | semidirect |
| 88. D44 | Q16 | semidirect |
| 105. #477 | D11 | semidirect |
| 190. C11 | #3338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623261 | 2 |
| #10623110 | 2 |
| C11×#477 | 2 |
| #10622691 | 2 |
| C4×#4326 | 2 |
| #10622497 | 2 |
| D11×#107 | 2 |
| #10622463 | 2 |
| #10622447 | 2 |
| #10622426 | 2 |
| #10622422 | 2 |
| #3338 | 11 |