Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 5. C32×#125 | C4 | semidirect |
| 7. C32×#97 | C4 | semidirect |
| 20. C3×#125 | Dic3 | semidirect |
| 22. C3×#97 | Dic3 | semidirect |
| 49. #125 | C3⋊Dic3 | semidirect |
| 52. #97 | C3⋊Dic3 | semidirect |
| 78. C32 | #1412 | semidirect |
| 97. C3 | #67784 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#490 | 2 |
| #10589411 | 2 |
| #67784 | 3 |