Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
246 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 5. Dic18⋊C9 | C3 | semidirect |
| 6. C9×Dic18 | C3 | semidirect |
| 19. C9×3−1+2 | Q8 | semidirect |
| 22. 3−1+2⋊Q8 | C9 | direct (N × H) |
| 53. C9⋊C9 | C3×Q8 | semidirect |
| 56. C92 | C3×Q8 | semidirect |
| 62. Dic18 | C3×C9 | semidirect |
| 94. 3−1+2 | Q8×C9 | semidirect |
| 135. C9 | 3−1+2⋊Q8 | direct (N × H) |
| 136. C9 | C3×Q8×C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9×3−1+2 | 2 |
| C9×3−1+2⋊C4 | 2 |
| C3×3−1+2⋊Q8 | 3 |
| C3×C9×Dic6 | 3 |
| Dic18⋊C9 | 3 |
| C9×Dic18 | 3 |