Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
792 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 2. #10592939 | C2 | semidirect |
| 3. #10592932 | C2 | semidirect |
| 4. #10592818 | C2 | semidirect |
| 5. #10589423 | C2 | semidirect |
| 184. C32 | #2053 | semidirect |
| 219. C3 | #72115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#575 | 2 |
| #10592939 | 2 |
| #10592932 | 2 |
| #10592818 | 2 |
| #10589423 | 2 |
| #72115 | 3 |