Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
565 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 565 conjugacy classes of subgroups — too many to draw. Only its 92 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. C3⋊D3×#108 | C2 | semidirect |
| 3. #10590625 | C2 | semidirect |
| 4. C3×#4495 | C2 | semidirect |
| 5. #10589127 | C2 | semidirect |
| 16. C32×#108 | C22 | semidirect |
| 18. #63646 | C22 | semidirect |
| 19. C3×#812 | C22 | semidirect |
| 29. #4495 | D3 | semidirect |
| 68. C3×#108 | C2×D3 | semidirect |
| 73. #812 | C2×D3 | semidirect |
| 166. #108 | D32 | semidirect |
| 207. C3⋊D3 | #361 | semidirect |
| 254. C32 | C2×#361 | semidirect |
| 299. C3 | D3×#361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63797 | 2 |
| C3⋊D3×#108 | 2 |
| #10590625 | 2 |
| C3×#4495 | 2 |
| #10589127 | 2 |
| D3×#361 | 3 |