Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
324 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 90 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. C9×#430 | C2 | semidirect |
| 5. #10588800 | C2 | semidirect |
| 6. #10588799 | C2 | semidirect |
| 7. C9⋊#338 | C2 | semidirect |
| 92. #430 | D9 | semidirect |
| 212. C9 | #2069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#430 | 2 |
| C2×#63383 | 2 |
| #10588800 | 2 |
| #10588799 | 2 |
| C9⋊#338 | 2 |
| #70730 | 3 |