Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. C11×#443 | C2 | semidirect |
| 2. #10622806 | C2 | semidirect |
| 3. #10622308 | C2 | semidirect |
| 4. #10622133 | C2 | semidirect |
| 5. #10622101 | C2 | semidirect |
| 20. C11×Q16 | D4 | semidirect |
| 22. C11×D8 | D4 | semidirect |
| 52. #443 | D11 | semidirect |
| 81. Q16 | D44 | semidirect |
| 87. D8 | D44 | semidirect |
| 95. C11 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#443 | 2 |
| #10622806 | 2 |
| #10622308 | 2 |
| #10622133 | 2 |
| #10622101 | 2 |
| #2213 | 11 |