Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
243 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 243 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 12. C9×#97 | C4 | semidirect |
| 13. C4×C8×C9 | C4 | semidirect |
| 88. #97 | Dic9 | semidirect |
| 89. C4×C8 | Dic9 | semidirect |
| 129. C9 | #1841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9×M16 | 2 |
| #10588237 | 2 |
| #10588236 | 2 |
| C9⋊#338 | 2 |
| #10588201 | 2 |
| #69871 | 3 |