Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1362 conjugacy classes of subgroups; only the 374 normal subgroups are shown.
This group has 1362 conjugacy classes of subgroups — too many to draw. Only its 374 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 |
|---|---|---|
| 2. C22×C4⋊Dic9 | C2 | semidirect |
| 3. C2×C9×#95 | C2 | semidirect |
| 4. #10588357 | C2 | direct (N × H) |
| 12. C2×C4⋊Dic9 | C22 | semidirect |
| 13. C9×#95 | C22 | semidirect |
| 59. C2×#95 | D9 | semidirect |
| 92. #95 | C2×D9 | semidirect |
| 109. C2×C9 | #399 | semidirect |
| 139. C9 | C2×#399 | semidirect |
| 175. C2 | #10588357 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×(C2×D9)⋊C4 | 2 |
| C22×C4⋊Dic9 | 2 |
| C2×C9×#95 | 2 |
| #10588357 | 2 |
| C2×#4677 | 3 |