Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
432 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
| 12. C2×C4⋊Dic9 | C4 | semidirect |
| 15. #63486 | C4 | semidirect |
| 233. C9 | #1520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63486 | 2 |
| C2×C9×C22⋊C8 | 2 |
| #10588892 | 2 |
| #10588144 | 2 |
| #69946 | 3 |