Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
330 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 330 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 |
|---|---|---|
| 1. C9×#492 | C2 | semidirect |
| 2. #10588773 | C2 | semidirect |
| 3. #10588760 | C2 | semidirect |
| 5. #10588753 | C2 | semidirect |
| 6. #10588376 | C2 | semidirect |
| 7. #10588131 | C2 | semidirect |
| 79. C9⋊C8 | SD16 | semidirect |
| 83. #492 | D9 | semidirect |
| 185. C9 | #1715 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#492 | 2 |
| #10588773 | 2 |
| #10588760 | 2 |
| #10588755 | 2 |
| #10588753 | 2 |
| #10588376 | 2 |
| #10588131 | 2 |
| #71259 | 3 |