Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
288 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 10. C9×C22⋊C8 | C4 | semidirect |
| 14. #63389 | C4 | semidirect |
| 104. C22⋊C8 | Dic9 | semidirect |
| 164. C9 | #1306 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#407 | 2 |
| #10588891 | 2 |
| #10588887 | 2 |
| #67686 | 3 |