Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
404 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 96 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. #11757609 | C2 | direct (N × H) |
| 6. C2×#6893 | C4 | semidirect |
| 16. #6893 | C2×C4 | semidirect |
| 26. C2×C32×C9 | Dic3 | semidirect |
| 30. C2×C32⋊C9 | Dic3 | semidirect |
| 47. C32×C9 | C2×Dic3 | semidirect |
| 49. C32⋊C9 | C2×Dic3 | semidirect |
| 157. C2 | #11757609 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6893 | 2 |
| #11757609 | 2 |
| C2×C3⋊#1084 | 3 |
| C2×C9×C3⋊Dic3 | 3 |
| C2×(C3⋊Dic3)⋊C9 | 3 |