Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
900 conjugacy classes of subgroups; only the 265 normal subgroups are shown.
This group has 900 conjugacy classes of subgroups — too many to draw. Only its 265 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. #10589417 | C2 | semidirect |
| 5. #10589417 | C2 | semidirect |
| 12. #64135 | C4 | semidirect |
| 193. C32 | #1825 | semidirect |
| 238. C3 | #69926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64135 | 2 |
| C2×C32×C22⋊C8 | 2 |
| #10592911 | 2 |
| #10589417 | 2 |
| #69926 | 3 |