Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
126 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 32 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 |
|---|---|---|
| 6. #63432 | C4 | semidirect |
| 11. C4×C9⋊C8 | C4 | semidirect |
| 99. C9 | #1414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588735 | 2 |
| C9×#355 | 2 |
| #10588218 | 2 |
| #67547 | 3 |