Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
531 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 531 conjugacy classes of subgroups — too many to draw. Only its 132 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. #10619985 | C3 | semidirect |
| 15. C3×C32⋊C9 | Q8 | semidirect |
| 48. C32×C9 | C3×Q8 | semidirect |
| 50. C32⋊C9 | Dic6 | semidirect |
| 99. C33 | Dic18 | semidirect |
| 105. C3×C9 | C3×Dic6 | semidirect |
| 149. C32 | #6226 | semidirect |
| 166. C3 | #10619590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×C32⋊C9 | 2 |
| C3⋊#66316 | 2 |
| C3×#6308 | 3 |
| #10619985 | 3 |
| #10619590 | 3 |