Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
231 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 231 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 5. #131⋊C9 | C4 | semidirect |
| 18. #2913 | C9 | semidirect |
| 66. #131 | C4×C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#131⋊C9 | 2 |
| #520⋊C9 | 2 |
| C3×#2913 | 3 |
| C9×#107 | 4 |