Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
259 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 259 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 3. #83789 | C3 | semidirect |
| 188. C3 | #2916⋊C3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#131⋊C3 | 2 |
| #5819⋊C3 | 2 |
| #83789 | 3 |
| #2916⋊C3 | 3 |
| C3×#819 | 4 |