Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 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. D11×C4⋊Q8 | C2 | semidirect |
| 3. C11×#489 | C2 | semidirect |
| 4. #10622702 | C2 | semidirect |
| 5. #10622668 | C2 | semidirect |
| 6. #10622416 | C2 | semidirect |
| 7. #10622405 | C2 | semidirect |
| 8. #10622384 | C2 | semidirect |
| 9. #10622373 | C2 | semidirect |
| 10. #10622327 | C2 | semidirect |
| 11. #10622320 | C2 | semidirect |
| 120. #489 | D11 | semidirect |
| 222. C11 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| #10623199 | 2 |
| C11×#489 | 2 |
| #10622702 | 2 |
| #10622668 | 2 |
| #10622416 | 2 |
| #10622405 | 2 |
| #10622384 | 2 |
| #10622373 | 2 |
| #10622327 | 2 |
| #10622320 | 2 |
| #3141 | 11 |