Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623101 | C2 | semidirect |
| 4. #10622779 | C2 | semidirect |
| 5. SD16×Dic11 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622464 | C2 | semidirect |
| 9. #10622443 | C2 | semidirect |
| 10. #10622381 | C2 | semidirect |
| 11. #10622376 | C2 | semidirect |
| 190. C11 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623244 | 2 |
| #10623101 | 2 |
| C11×#460 | 2 |
| #10622779 | 2 |
| SD16×Dic11 | 2 |
| #10622683 | 2 |
| C4×#4326 | 2 |
| #10622464 | 2 |
| #10622443 | 2 |
| #10622381 | 2 |
| #10622376 | 2 |
| #3365 | 11 |