Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. C11×#491 | C2 | semidirect |
| 4. #10622695 | C2 | semidirect |
| 5. #10622682 | C2 | semidirect |
| 7. #10622405 | C2 | semidirect |
| 9. #10622316 | C2 | semidirect |
| 79. #491 | D11 | semidirect |
| 142. C11 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| #10623219 | 2 |
| C11×#491 | 2 |
| #10622695 | 2 |
| #10622682 | 2 |
| #10622415 | 2 |
| #10622405 | 2 |
| #10622320 | 2 |
| #10622316 | 2 |
| #3139 | 11 |