Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
333 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 333 conjugacy classes of subgroups — too many to draw. Only its 94 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. C9×#432 | C2 | semidirect |
| 3. #10588616 | C2 | semidirect |
| 5. #10588144 | C2 | semidirect |
| 14. #63437 | C4 | semidirect |
| 15. C4×D36 | C4 | semidirect |
| 17. #63432 | C4 | semidirect |
| 18. C4×Dic18 | C4 | semidirect |
| 98. #432 | D9 | semidirect |
| 237. C9 | #1512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589581 | 2 |
| C9×#432 | 2 |
| #10588616 | 2 |
| #10588147 | 2 |
| #10588144 | 2 |
| #70834 | 3 |