Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
243 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 243 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 4. #10619651 | C3 | semidirect |
| 15. #6887 | Q8 | semidirect |
| 40. C92 | C3×Q8 | semidirect |
| 70. C3×C9 | Dic18 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6887 | 2 |
| #11757600 | 2 |
| C3×#6226 | 3 |
| #10619651 | 3 |
| #10619590 | 3 |