Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #10623109 | C2 | semidirect |
| 3. C11×#460 | C2 | semidirect |
| 4. #10622784 | C2 | semidirect |
| 5. #10622775 | C2 | semidirect |
| 6. #10622688 | C2 | semidirect |
| 7. #10622633 | C2 | semidirect |
| 8. #10622464 | C2 | semidirect |
| 9. D11×C4⋊C8 | C2 | semidirect |
| 10. #10622391 | C2 | semidirect |
| 11. #10622374 | C2 | semidirect |
| 107. C4×D11 | SD16 | semidirect |
| 123. #460 | D11 | semidirect |
| 219. C11 | #3246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623247 | 2 |
| #10623109 | 2 |
| C11×#460 | 2 |
| #10622784 | 2 |
| #10622775 | 2 |
| #10622688 | 2 |
| #10622633 | 2 |
| #10622464 | 2 |
| D11×C4⋊C8 | 2 |
| #10622391 | 2 |
| #10622374 | 2 |
| #3246 | 11 |