Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #10623049 | C2 | semidirect |
| 3. C11×#405 | C2 | semidirect |
| 4. #10622747 | C2 | semidirect |
| 5. #10622727 | C2 | semidirect |
| 6. #10622326 | C2 | semidirect |
| 7. #10622323 | C2 | semidirect |
| 8. #10622316 | C2 | semidirect |
| 9. #10622306 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622296 | C2 | semidirect |
| 101. #405 | D11 | semidirect |
| 176. C11 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623066 | 2 |
| #10623049 | 2 |
| C11×#405 | 2 |
| #10622747 | 2 |
| #10622727 | 2 |
| #10622326 | 2 |
| #10622323 | 2 |
| #10622316 | 2 |
| #10622306 | 2 |
| C4×#4314 | 2 |
| #10622296 | 2 |
| #3174 | 11 |