Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
300 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 12. C9×#97 | C4 | semidirect |
| 13. C4×C8×C9 | C4 | semidirect |
| 14. #63375 | C4 | semidirect |
| 15. C8×Dic9 | C4 | semidirect |
| 94. #97 | Dic9 | semidirect |
| 96. C4×C8 | Dic9 | semidirect |
| 136. C9 | #1747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#405 | 2 |
| #10588782 | 2 |
| #10588237 | 2 |
| C9⋊#338 | 2 |
| #10588210 | 2 |
| #69895 | 3 |