Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
356 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 154 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. C3×C4×C9⋊C9 | C2 | semidirect |
| 3. Dic3×C9⋊C9 | C2 | semidirect |
| 8. D3×C9⋊C9 | C4 | direct (N × H) |
| 19. C4×C9⋊C9 | D3 | direct (N × H) |
| 20. C3×C9⋊C9 | C2×C4 | semidirect |
| 25. C4×D3×C9 | C9 | semidirect |
| 48. C3×C4×C9 | C2×C9 | semidirect |
| 52. C9×Dic3 | C2×C9 | semidirect |
| 57. C9⋊C9 | C4×D3 | direct (N × H) |
| 76. D3×C9 | C4×C9 | semidirect |
| 95. C4×C9 | D3×C9 | semidirect |
| 102. C3×C9 | C2×C4×C9 | semidirect |
| 107. C4×D3 | C9⋊C9 | direct (N × H) |
| 129. C3×C4 | C2×C9⋊C9 | semidirect |
| 132. Dic3 | C2×C9⋊C9 | semidirect |
| 141. C9 | C4×D3×C9 | semidirect |
| 150. D3 | C4×C9⋊C9 | direct (N × H) |
| 153. C4 | D3×C9⋊C9 | direct (N × H) |
| 156. C3 | C2×C4×C9⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×C9⋊C9 | 2 |
| C3×C4×C9⋊C9 | 2 |
| Dic3×C9⋊C9 | 2 |
| C3×C4×D3×C9 | 3 |
| C2×C4×C9⋊C9 | 3 |