Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1362 conjugacy classes of subgroups; only the 390 normal subgroups are shown.
This group has 1362 conjugacy classes of subgroups — too many to draw. Only its 390 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. #10588910 | C2 | direct (N × H) |
| 27. C22×Dic9 | Q8 | semidirect |
| 53. C2×Dic9 | C2×Q8 | semidirect |
| 102. C2×C9 | #395 | semidirect |
| 128. C9 | C2×#395 | semidirect |
| 157. C2 | #10588910 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Q8×C9 | 2 |
| C22×Dic9⋊C4 | 2 |
| #10588910 | 2 |
| C2×C9⋊#95 | 2 |
| C2×#5230 | 3 |