Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
414 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 96 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. C3×#6226 | C3 | semidirect |
| 5. #10619590 | C3 | direct (N × H) |
| 15. C3×C32⋊C9 | Q8 | semidirect |
| 21. #6226 | C32 | semidirect |
| 53. C32×C9 | C3×Q8 | semidirect |
| 55. C32⋊C9 | C3×Q8 | semidirect |
| 116. C33 | Dic18 | semidirect |
| 125. C3×C9 | C32×Q8 | semidirect |
| 178. C32 | C3×Dic18 | semidirect |
| 202. C3 | #10619590 | direct (N × H) |
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 |
| C32×#634 | 3 |
| C3×#6226 | 3 |
| #10619590 | 3 |