Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
342 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. #10622704 | C2 | semidirect |
| 4. #10622692 | C2 | semidirect |
| 5. #10622665 | C2 | semidirect |
| 6. #10622658 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622633 | C2 | semidirect |
| 10. #10622584 | C2 | semidirect |
| 11. #10622577 | C2 | semidirect |
| 189. C11 | #3356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#554 | 2 |
| #10623073 | 2 |
| #10622704 | 2 |
| #10622692 | 2 |
| #10622665 | 2 |
| #10622658 | 2 |
| C4×#4326 | 2 |
| #10622633 | 2 |
| #10622625 | 2 |
| #10622584 | 2 |
| #10622577 | 2 |
| #3356 | 11 |