Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 122 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. #10588804 | C2 | semidirect |
| 5. #10588235 | C2 | semidirect |
| 13. #63498 | C4 | semidirect |
| 36. C2×Dic18 | C2×C4 | semidirect |
| 46. C4×Dic9 | C2×C4 | semidirect |
| 196. C9 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589900 | 2 |
| C2×#63498 | 2 |
| C2×C9×#100 | 2 |
| #10588804 | 2 |
| #10588235 | 2 |
| #70069 | 3 |