Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
522 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 76 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. C32×C3⋊Dic9 | C2 | semidirect |
| 4. #10619898 | C3 | direct (N × H) |
| 7. C3×C9×C3⋊D3 | C4 | semidirect |
| 15. C3×C3⋊Dic9 | D3 | semidirect |
| 16. C3×C3⋊Dic9 | C2×C3 | semidirect |
| 19. C33×C9 | C2×C4 | semidirect |
| 38. C9×C3⋊D3 | C3×C4 | semidirect |
| 57. C3⋊Dic9 | C3×D3 | semidirect |
| 73. C32×C9 | C4×D3 | semidirect |
| 74. C32×C9 | C2×C3×C4 | semidirect |
| 92. C3×C3⋊D3 | Dic9 | semidirect |
| 151. C33 | C2×Dic9 | semidirect |
| 171. C3×C9 | #624 | semidirect |
| 172. C3×C9 | C3×C4×D3 | semidirect |
| 201. C3⋊D3 | C3×Dic9 | semidirect |
| 247. C32 | D3×Dic9 | semidirect |
| 248. C32 | C2×C3×Dic9 | semidirect |
| 256. C9 | C3×#624 | semidirect |
| 284. C3 | C3×D3×Dic9 | semidirect |
| 285. C3 | #10619898 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C9×C3⋊D3 | 2 |
| C32×C3⋊Dic9 | 2 |
| C3×#6294 | 3 |
| #10619898 | 3 |
| C3×D3×Dic9 | 3 |