Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
231 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 231 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 3. #10619966 | C3 | semidirect |
| 5. #10619619 | C3 | semidirect |
| 6. #10619613 | C3 | semidirect |
| 7. #10619607 | C3 | semidirect |
| 23. #6908 | Q8 | semidirect |
| 63. #737 | C3×Q8 | semidirect |
| 64. C32×C9 | Dic6 | semidirect |
| 66. #732 | C3×Q8 | semidirect |
| 68. #731 | C3×Q8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6908 | 2 |
| #11757584 | 2 |
| #10619966 | 3 |
| C3×C9×Dic6 | 3 |
| #10619619 | 3 |
| #10619613 | 3 |
| #10619607 | 3 |