Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
231 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 231 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 8. C2×C4⋊Dic9 | C4 | semidirect |
| 10. C9⋊#95 | C4 | semidirect |
| 155. C9 | #1352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588629 | 2 |
| C9×#342 | 2 |
| #10588202 | 2 |
| #67492 | 3 |