Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
237 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 237 conjugacy classes of subgroups — too many to draw. Only its 66 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. C2×C9×Q32 | C2 | semidirect |
| 3. Q16×Dic9 | C2 | semidirect |
| 5. #10588241 | C2 | semidirect |
| 7. Dic9⋊C16 | C2 | semidirect |
| 79. C2×Q32 | D9 | semidirect |
| 181. C9 | #2211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×Q32 | 2 |
| #10588871 | 2 |
| Q16×Dic9 | 2 |
| C2×#63387 | 2 |
| #10588241 | 2 |
| #10588186 | 2 |
| Dic9⋊C16 | 2 |
| #71498 | 3 |