Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 4. #10589378 | C2 | semidirect |
| 5. #10589377 | C2 | semidirect |
| 127. C32 | #2165 | semidirect |
| 151. C3 | #69114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| M16×C3⋊Dic3 | 2 |
| C32×#349 | 2 |
| #10589419 | 2 |
| #10589378 | 2 |
| #10589377 | 2 |
| #69114 | 3 |