Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
525 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 525 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
|---|---|---|
| 1. #10589855 | C2 | semidirect |
| 2. C9×#504 | C2 | semidirect |
| 3. #10588589 | C2 | semidirect |
| 4. C2×Dic72 | C2 | semidirect |
| 5. #10588584 | C2 | semidirect |
| 63. #504 | D9 | semidirect |
| 125. C9 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589855 | 2 |
| C9×#504 | 2 |
| #10588589 | 2 |
| C2×Dic72 | 2 |
| #10588584 | 2 |
| #82015 | 3 |