Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
299 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 299 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11757598 | C2 | direct (N × H) |
| 7. C2×#6887 | C4 | semidirect |
| 20. #6887 | C2×C4 | semidirect |
| 22. C2×C3⋊Dic9 | C9 | semidirect |
| 30. C2×C9⋊C9 | Dic3 | semidirect |
| 38. C2×C92 | Dic3 | semidirect |
| 52. C3⋊Dic9 | C2×C9 | semidirect |
| 58. C9⋊C9 | C2×Dic3 | semidirect |
| 62. C92 | C2×Dic3 | semidirect |
| 83. C2×C3×C9 | C4×C9 | semidirect |
| 117. C3×C9 | C2×C4×C9 | semidirect |
| 189. C2 | #11757598 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6887 | 2 |
| #11757598 | 2 |
| C2×C3×C3⋊Dic9 | 3 |
| C2×Dic9⋊C9 | 3 |
| C2×(C3⋊Dic3)⋊C9 | 3 |
| C2×C9×Dic9 | 3 |