Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
666 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 666 conjugacy classes of subgroups — too many to draw. Only its 138 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. #10589900 | C2 | semidirect |
| 3. #10588896 | C2 | semidirect |
| 4. C2×#63391 | C2 | semidirect |
| 5. #10588201 | C2 | semidirect |
| 11. C9×#127 | C4 | semidirect |
| 34. C2×D4×C9 | C2×C4 | semidirect |
| 40. C42×C9 | C2×C4 | semidirect |
| 43. C4⋊Dic9 | D4 | semidirect |
| 134. #127 | Dic9 | semidirect |
| 180. C2×D4 | C2×Dic9 | semidirect |
| 193. C42 | C2×Dic9 | semidirect |
| 210. C9 | #1887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#127 | 2 |
| #10589900 | 2 |
| #10588896 | 2 |
| C2×#63391 | 2 |
| #10588201 | 2 |
| #71763 | 3 |