Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
411 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 411 conjugacy classes of subgroups — too many to draw. Only its 116 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×#382 | C2 | semidirect |
| 4. C2×#63367 | C2 | semidirect |
| 5. C2×#63366 | C2 | semidirect |
| 7. #10588200 | C2 | semidirect |
| 102. #382 | D9 | semidirect |
| 240. C9 | #2092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#382 | 2 |
| C2×#63369 | 2 |
| C2×#63367 | 2 |
| C2×#63366 | 2 |
| #10588619 | 2 |
| #10588200 | 2 |
| #69558 | 3 |