Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
303 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 303 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 4. C9×#332 | C2 | semidirect |
| 5. #10588224 | C2 | semidirect |
| 6. #10588161 | C2 | semidirect |
| 7. #10588159 | C2 | semidirect |
| 100. #332 | D9 | semidirect |
| 214. C9 | #1544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589830 | 2 |
| #10588517 | 2 |
| C9×#332 | 2 |
| #10588224 | 2 |
| #10588161 | 2 |
| #10588159 | 2 |
| #68419 | 3 |