Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
663 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 663 conjugacy classes of subgroups — too many to draw. Only its 150 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. C22×C4×Dic9 | C2 | semidirect |
| 3. C2×#63396 | C2 | semidirect |
| 4. #10588887 | C2 | semidirect |
| 5. #10588208 | C2 | semidirect |
| 11. C9×C22⋊Q8 | C4 | semidirect |
| 12. C9×#121 | C4 | semidirect |
| 30. C2×Q8×C9 | C2×C4 | semidirect |
| 33. C2×D4×C9 | C2×C4 | semidirect |
| 45. C9×C4⋊C4 | C2×C4 | semidirect |
| 52. C4×Dic9 | D4 | semidirect |
| 140. C22×C9 | #104 | semidirect |
| 155. C22⋊Q8 | Dic9 | semidirect |
| 156. #121 | Dic9 | semidirect |
| 201. C2×Q8 | C2×Dic9 | semidirect |
| 204. C2×D4 | C2×Dic9 | semidirect |
| 219. C4⋊C4 | C2×Dic9 | semidirect |
| 244. C9 | #1896 | semidirect |
| 285. C22 | #63396 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#525 | 2 |
| C22×C4×Dic9 | 2 |
| C2×#63396 | 2 |
| #10588887 | 2 |
| #10588208 | 2 |
| #71711 | 3 |