Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. D4×Dic22 | C2 | semidirect |
| 3. C11×#436 | C2 | semidirect |
| 4. #10622747 | C2 | semidirect |
| 5. #10622733 | C2 | semidirect |
| 6. #10622463 | C2 | semidirect |
| 7. #10622454 | C2 | semidirect |
| 8. #10622351 | C2 | semidirect |
| 9. #10622336 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622294 | C2 | semidirect |
| 114. #436 | D11 | semidirect |
| 202. C11 | #3329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623094 | 2 |
| D4×Dic22 | 2 |
| C11×#436 | 2 |
| #10622747 | 2 |
| #10622733 | 2 |
| #10622463 | 2 |
| #10622454 | 2 |
| #10622351 | 2 |
| #10622336 | 2 |
| C4×#4314 | 2 |
| #10622294 | 2 |
| #3329 | 11 |