Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. Q8×Dic22 | C2 | semidirect |
| 3. C11×#460 | C2 | semidirect |
| 4. #10622776 | C2 | semidirect |
| 5. SD16×Dic11 | C2 | semidirect |
| 6. #10622683 | C2 | semidirect |
| 7. C4×#4325 | C2 | semidirect |
| 8. #10622455 | C2 | semidirect |
| 9. #10622443 | C2 | semidirect |
| 10. #10622374 | C2 | semidirect |
| 11. #10622373 | C2 | semidirect |
| 78. Q8×C11 | #41 | semidirect |
| 100. Dic22 | SD16 | semidirect |
| 111. #460 | D11 | semidirect |
| 199. C11 | #3362 | semidirect |
| 206. Q8 | #4341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623249 | 2 |
| Q8×Dic22 | 2 |
| C11×#460 | 2 |
| #10622776 | 2 |
| SD16×Dic11 | 2 |
| #10622683 | 2 |
| C4×#4325 | 2 |
| #10622455 | 2 |
| #10622443 | 2 |
| #10622374 | 2 |
| #10622373 | 2 |
| #3362 | 11 |