Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 130 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. #10588681 | C2 | semidirect |
| 5. #10588208 | C2 | semidirect |
| 14. #63498 | C4 | semidirect |
| 36. C2×Dic18 | C2×C4 | semidirect |
| 43. 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 |
|---|---|
| C9×#518 | 2 |
| C2×#63498 | 2 |
| C2×#63391 | 2 |
| #10588681 | 2 |
| #10588208 | 2 |
| #71649 | 3 |