Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
480 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 233 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. #10589324 | C2 | semidirect |
| 5. #10589323 | C2 | semidirect |
| 143. C32 | #1573 | semidirect |
| 174. C3 | #70752 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#431 | 2 |
| #10592625 | 2 |
| C2×C4⋊(C3⋊(C3⋊C8)) | 2 |
| #10589324 | 2 |
| #10589323 | 2 |
| #70752 | 3 |