Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
220 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. A4×C9⋊C9 | C2 | semidirect |
| 4. C22×D9⋊C9 | C3 | semidirect |
| 5. D9⋊(C22⋊C9) | C3 | semidirect |
| 10. C22×C9⋊C9 | C2×C3 | semidirect |
| 13. C9⋊(C22⋊C9) | C2×C3 | semidirect |
| 22. A4×D9 | C9 | semidirect |
| 28. D9⋊C9 | A4 | direct (N × H) |
| 44. C9×A4 | C2×C9 | semidirect |
| 51. C9⋊C9 | C2×A4 | semidirect |
| 56. C22×D9 | C3×C9 | semidirect |
| 81. C22×C9 | C2×C3×C9 | semidirect |
| 115. D9 | C9×A4 | semidirect |
| 124. A4 | D9⋊C9 | direct (N × H) |
| 136. C9 | C2×C9×A4 | semidirect |
| 148. C22 | C3×D9⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| A4×C9⋊C9 | 2 |
| D3×C9×A4 | 3 |
| C3×A4×D9 | 3 |
| C22×D9⋊C9 | 3 |
| D9⋊(C22⋊C9) | 3 |
| C3×D9⋊C9 | 4 |