Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
245 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 245 conjugacy classes of subgroups — too many to draw. Only its 66 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×#4463 | C2 | semidirect |
| 3. C3×#4455 | C2 | semidirect |
| 18. #4463 | D3 | semidirect |
| 19. #4455 | D3 | semidirect |
| 25. #3746 | C8 | semidirect |
| 26. #3745 | C8 | semidirect |
| 182. C32 | #1336 | semidirect |
| 211. C3 | #67443 | semidirect |
| 212. C3 | #67569 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592399 | 2 |
| C3×#4463 | 2 |
| C3×#4455 | 2 |
| #67569 | 3 |
| #67443 | 3 |