Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
255 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 255 conjugacy classes of subgroups — too many to draw. Only its 62 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. #10588835 | C2 | semidirect |
| 3. C2×#63359 | C2 | semidirect |
| 4. #10588552 | C2 | semidirect |
| 5. C9×#357 | C2 | semidirect |
| 6. Dic9⋊C16 | C2 | semidirect |
| 7. #10588169 | C2 | semidirect |
| 86. #357 | D9 | semidirect |
| 188. C9 | #2210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588835 | 2 |
| C2×#63385 | 2 |
| C2×#63359 | 2 |
| #10588552 | 2 |
| C9×#357 | 2 |
| Dic9⋊C16 | 2 |
| #10588169 | 2 |
| #69203 | 3 |