Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
255 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 255 conjugacy classes of subgroups — too many to draw. Only its 68 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×#443 | C2 | semidirect |
| 2. #10588873 | C2 | semidirect |
| 3. #10588377 | C2 | semidirect |
| 4. #10588172 | C2 | semidirect |
| 5. #10588140 | C2 | semidirect |
| 26. C9×Q16 | D4 | semidirect |
| 28. C9×D8 | D4 | semidirect |
| 69. #443 | D9 | semidirect |
| 130. Q16 | D36 | semidirect |
| 136. D8 | D36 | semidirect |
| 152. C9 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#443 | 2 |
| #10588873 | 2 |
| #10588377 | 2 |
| #10588172 | 2 |
| #10588140 | 2 |
| #70926 | 3 |