Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
411 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 411 conjugacy classes of subgroups — too many to draw. Only its 100 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. #10588144 | C2 | semidirect |
| 7. C22×Dic18 | C4 | semidirect |
| 11. C2×C4⋊Dic9 | C4 | semidirect |
| 14. #63486 | C4 | semidirect |
| 223. C9 | #1511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63486 | 2 |
| C9×#407 | 2 |
| #10588891 | 2 |
| #10588144 | 2 |
| #69981 | 3 |