Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
189 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 189 conjugacy classes of subgroups — too many to draw. Only its 40 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. C9×C9⋊A4 | C2 | semidirect |
| 4. C22×C9×D9 | C3 | semidirect |
| 5. D9×C22⋊C9 | C3 | semidirect |
| 9. C22×C92 | C2×C3 | semidirect |
| 15. C9×C22⋊C9 | C2×C3 | semidirect |
| 28. C9×D9 | A4 | semidirect |
| 43. C9⋊A4 | D9 | direct (N × H) |
| 52. C92 | C2×A4 | semidirect |
| 57. C22×D9 | 3−1+2 | semidirect |
| 82. C22×C9 | C3×D9 | semidirect |
| 83. C22×C9 | C2×3−1+2 | semidirect |
| 89. C22⋊C9 | C3×D9 | semidirect |
| 120. D9 | C9⋊A4 | direct (N × H) |
| 142. C9 | A4×D9 | semidirect |
| 143. C9 | C2×C9⋊A4 | semidirect |
| 155. C22 | D9×3−1+2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×C9⋊A4 | 2 |
| D3×C9⋊A4 | 3 |
| C3×A4×D9 | 3 |
| C22×C9×D9 | 3 |
| D9×C22⋊C9 | 3 |
| D9×3−1+2 | 4 |