Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
378 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 132 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. #10588800 | C2 | semidirect |
| 5. #10588231 | C2 | semidirect |
| 162. C9 | #1858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589921 | 2 |
| C9×#413 | 2 |
| #10588912 | 2 |
| #10588800 | 2 |
| #10588231 | 2 |
| #70135 | 3 |