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 |
|---|---|---|
| 1. #10623259 | C2 | semidirect |
| 3. C11×#461 | C2 | semidirect |
| 4. #10622784 | C2 | semidirect |
| 5. #10622776 | C2 | semidirect |
| 6. #10622696 | C2 | semidirect |
| 7. #10622621 | C2 | semidirect |
| 8. #10622455 | C2 | semidirect |
| 9. D11×C4⋊C8 | C2 | semidirect |
| 10. #10622420 | C2 | semidirect |
| 11. #10622404 | C2 | semidirect |
| 111. C4×D11 | SD16 | semidirect |
| 124. #461 | D11 | semidirect |
| 224. C11 | #3246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623259 | 2 |
| #10623079 | 2 |
| C11×#461 | 2 |
| #10622784 | 2 |
| #10622776 | 2 |
| #10622696 | 2 |
| #10622621 | 2 |
| #10622455 | 2 |
| D11×C4⋊C8 | 2 |
| #10622420 | 2 |
| #10622404 | 2 |
| #3246 | 11 |