Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
111 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 111 conjugacy classes of subgroups — too many to draw. Only its 44 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. C9×#367 | C2 | semidirect |
| 3. #10588176 | C2 | semidirect |
| 8. Dic72 | C4 | semidirect |
| 10. D144 | C4 | semidirect |
| 41. #367 | D9 | semidirect |
| 88. C9 | #1418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588584 | 2 |
| C9×#367 | 2 |
| #10588176 | 2 |
| #67580 | 3 |