Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
292 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 6. C3×#131⋊C3 | C4 | semidirect |
| 7. C3×#131⋊C3 | C4 | semidirect |
| 33. #131⋊C3 | Dic3 | semidirect |
| 34. #131⋊C3 | Dic3 | semidirect |
| 192. C3 | #73120 | 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 |
| #10593657 | 2 |
| #73120 | 3 |
| #72013 | 3 |
| #63646 | 4 |