Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. D11×C4⋊Q8 | C2 | semidirect |
| 3. C11×#474 | C2 | semidirect |
| 4. #10622700 | C2 | semidirect |
| 5. #10622620 | C2 | semidirect |
| 6. #10622495 | C2 | semidirect |
| 7. #10622487 | C2 | semidirect |
| 8. #10622459 | C2 | semidirect |
| 9. #10622446 | C2 | semidirect |
| 10. #10622387 | C2 | semidirect |
| 11. #10622373 | C2 | semidirect |
| 124. #474 | D11 | semidirect |
| 221. C11 | #3226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| #10623079 | 2 |
| C11×#474 | 2 |
| #10622700 | 2 |
| #10622620 | 2 |
| #10622495 | 2 |
| #10622487 | 2 |
| #10622459 | 2 |
| #10622446 | 2 |
| #10622387 | 2 |
| #10622373 | 2 |
| #3226 | 11 |