Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
126 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 36 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 |
|---|---|---|
| 5. C9×#125 | C4 | semidirect |
| 9. C4×C8×C9 | C4 | semidirect |
| 62. #125 | Dic9 | semidirect |
| 68. C4×C8 | Dic9 | semidirect |
| 99. C9 | #1414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#488 | 2 |
| #10588219 | 2 |
| #10588218 | 2 |
| #67782 | 3 |