Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
276 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 72 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×#460 | C2 | semidirect |
| 3. #10588710 | C2 | semidirect |
| 4. #10588701 | C2 | semidirect |
| 5. #10588221 | C2 | semidirect |
| 6. #10588163 | C2 | semidirect |
| 7. #10588157 | C2 | semidirect |
| 90. C9⋊C8 | SD16 | semidirect |
| 93. #460 | D9 | semidirect |
| 210. C9 | #1688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#460 | 2 |
| #10588755 | 2 |
| #10588710 | 2 |
| #10588701 | 2 |
| #10588221 | 2 |
| #10588163 | 2 |
| #10588157 | 2 |
| #71025 | 3 |