Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 4. M16×Dic9 | C2 | semidirect |
| 5. #10588234 | C2 | semidirect |
| 16. C9×#100 | C4 | semidirect |
| 17. #63391 | C4 | semidirect |
| 38. C9×M16 | C2×C4 | semidirect |
| 45. #3667 | C2×C4 | semidirect |
| 126. Dic9 | #100 | direct (N × H) |
| 137. #100 | Dic9 | direct (N × H) |
| 184. M16 | C2×Dic9 | semidirect |
| 207. C9 | C4×#100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic9 | 2 |
| C2×C9×#100 | 2 |
| C2×#63391 | 2 |
| M16×Dic9 | 2 |
| #10588234 | 2 |
| Dic3×#100 | 3 |