Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
409 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 409 conjugacy classes of subgroups — too many to draw. Only its 118 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. C3×#4466 | C2 | semidirect |
| 4. #10589106 | C2 | semidirect |
| 14. #63544 | C4 | semidirect |
| 15. #63542 | C4 | semidirect |
| 21. #4466 | D3 | semidirect |
| 35. C3×C3⋊C16 | C2×C4 | semidirect |
| 100. C3⋊C16 | C4×D3 | semidirect |
| 152. C3⋊D3 | #347 | semidirect |
| 187. C32 | C2×#347 | semidirect |
| 221. C3 | D3×#347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×#97 | 2 |
| #10590625 | 2 |
| C3×#4466 | 2 |
| #10589106 | 2 |
| D3×#347 | 3 |