Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
350 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 145 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. C9×3−1+2⋊C4 | C2 | direct (N × H) |
| 5. C2×Dic9⋊C9 | C3 | semidirect |
| 6. C2×C9×Dic9 | C3 | semidirect |
| 7. C2×C9×3−1+2 | C4 | semidirect |
| 18. Dic9⋊C9 | C2×C3 | semidirect |
| 19. C9×Dic9 | C2×C3 | semidirect |
| 20. C9×3−1+2 | C2×C4 | semidirect |
| 23. C2×3−1+2⋊C4 | C9 | direct (N × H) |
| 33. C2×C9⋊C9 | C3×C4 | semidirect |
| 39. C2×C92 | C3×C4 | semidirect |
| 54. 3−1+2⋊C4 | C2×C9 | direct (N × H) |
| 61. C9⋊C9 | C2×C3×C4 | semidirect |
| 64. C92 | C2×C3×C4 | semidirect |
| 70. C2×Dic9 | C3×C9 | semidirect |
| 75. C2×3−1+2 | C4×C9 | semidirect |
| 110. Dic9 | C2×C3×C9 | semidirect |
| 113. 3−1+2 | C2×C4×C9 | semidirect |
| 145. C2×C9 | 3−1+2⋊C4 | direct (N × H) |
| 146. C2×C9 | C3×C4×C9 | semidirect |
| 166. C9 | C2×3−1+2⋊C4 | direct (N × H) |
| 167. C9 | C2×C3×C4×C9 | semidirect |
| 183. C2 | C9×3−1+2⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C9×3−1+2 | 2 |
| C9×3−1+2⋊C4 | 2 |
| C2×C3×3−1+2⋊C4 | 3 |
| C2×C3×C9×Dic3 | 3 |
| C2×Dic9⋊C9 | 3 |
| C2×C9×Dic9 | 3 |