Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #10623001 | C2 | semidirect |
| 3. C11×#432 | C2 | semidirect |
| 4. #10622463 | C2 | semidirect |
| 5. #10622462 | C2 | semidirect |
| 6. #10622455 | C2 | semidirect |
| 7. #10622454 | C2 | semidirect |
| 9. #10622336 | C2 | semidirect |
| 10. #10622329 | C2 | semidirect |
| 11. #10622323 | C2 | semidirect |
| 123. #432 | D11 | semidirect |
| 218. C11 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4339 | 2 |
| #10623001 | 2 |
| C11×#432 | 2 |
| #10622463 | 2 |
| #10622462 | 2 |
| #10622455 | 2 |
| #10622454 | 2 |
| #10622346 | 2 |
| #10622336 | 2 |
| #10622329 | 2 |
| #10622323 | 2 |
| #3116 | 11 |