Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
276 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 80 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×#446 | C2 | semidirect |
| 2. #10588710 | C2 | semidirect |
| 4. #10588163 | C2 | semidirect |
| 5. #10588134 | C2 | semidirect |
| 64. C8×C9 | SD16 | semidirect |
| 68. #446 | D9 | semidirect |
| 152. C9 | #1688 | semidirect |
| 168. C8 | #3675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#446 | 2 |
| #10588710 | 2 |
| #10588377 | 2 |
| #10588163 | 2 |
| #10588134 | 2 |
| #70959 | 3 |