Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1104 conjugacy classes of subgroups; only the 286 normal subgroups are shown.
This group has 1104 conjugacy classes of subgroups — too many to draw. Only its 286 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 |
|---|---|---|
| 3. C2×C9⋊#95 | C2 | semidirect |
| 9. C2×C9×C22⋊C4 | C4 | semidirect |
| 120. C2×C22⋊C4 | Dic9 | semidirect |
| 194. C9 | #1440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C9×C22⋊C4 | 2 |
| C22×#3676 | 2 |
| C2×C9⋊#95 | 2 |
| #71548 | 3 |