Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
271 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 271 conjugacy classes of subgroups — too many to draw. Only its 81 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. #11757612 | C2 | direct (N × H) |
| 7. C2×#6896 | C4 | semidirect |
| 20. #6896 | C2×C4 | semidirect |
| 31. C2×C9⋊C9 | Dic3 | semidirect |
| 37. C2×C92 | Dic3 | semidirect |
| 54. C9⋊C9 | C2×Dic3 | semidirect |
| 57. C92 | C2×Dic3 | semidirect |
| 159. C2 | #11757612 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6896 | 2 |
| #11757612 | 2 |
| C2×#66328 | 3 |
| C2×Dic9⋊C9 | 3 |
| C2×(C3⋊Dic3)⋊C9 | 3 |
| C2×C9×Dic9 | 3 |