Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
408 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 116 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. #10588612 | C2 | semidirect |
| 3. #10588606 | C2 | semidirect |
| 4. #10588214 | C2 | semidirect |
| 7. C9×C4⋊Q8 | C4 | semidirect |
| 8. C9×#127 | C4 | semidirect |
| 13. C4×D4×C9 | C4 | semidirect |
| 125. C4⋊Q8 | Dic9 | semidirect |
| 126. #127 | Dic9 | semidirect |
| 131. C4×D4 | Dic9 | semidirect |
| 202. C9 | #1505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#532 | 2 |
| #10588612 | 2 |
| #10588606 | 2 |
| #10588214 | 2 |
| #71812 | 3 |