Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
855 conjugacy classes of subgroups; only the 283 normal subgroups are shown.
This group has 855 conjugacy classes of subgroups — too many to draw. Only its 283 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⋊#66328 | C2 | direct (N × H) |
| 6. C2×C3×C32⋊C9 | C4 | semidirect |
| 14. C3×C32⋊C9 | C2×C4 | semidirect |
| 23. C2×C32×C9 | Dic3 | semidirect |
| 25. C2×C32⋊C9 | Dic3 | semidirect |
| 43. C32×C9 | C2×Dic3 | semidirect |
| 44. C32⋊C9 | C2×Dic3 | semidirect |
| 58. C2×C33 | Dic9 | semidirect |
| 68. C2×C3×C9 | C3⋊Dic3 | semidirect |
| 91. C33 | C2×Dic9 | semidirect |
| 96. C3×C9 | C2×C3⋊Dic3 | semidirect |
| 114. C2×C32 | C3⋊Dic9 | semidirect |
| 140. C32 | C2×C3⋊Dic9 | semidirect |
| 151. C2×C3 | #66328 | semidirect |
| 162. C3 | C2×#66328 | semidirect |
| 165. C2 | C3⋊#66328 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C32⋊C9 | 2 |
| C3⋊#66328 | 2 |
| C2×C3×C3⋊(C3⋊Dic3) | 3 |
| C2×C3×C3⋊Dic9 | 3 |
| C2×#66328 | 3 |