Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
621 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 621 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 13. C3×C32⋊C9 | Q8 | semidirect |
| 39. C32×C9 | Dic6 | semidirect |
| 40. C32⋊C9 | Dic6 | semidirect |
| 78. C33 | Dic18 | semidirect |
| 83. C3×C9 | #634 | semidirect |
| 116. C32 | #6226 | semidirect |
| 132. C3 | #10619654 | 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⋊#66328 | 2 |
| C3×#6308 | 3 |
| C3×#6226 | 3 |
| #10619654 | 3 |