Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
864 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 864 conjugacy classes of subgroups — too many to draw. Only its 210 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. C9×#634 | C3 | direct (N × H) |
| 15. C33×C9 | Q8 | semidirect |
| 16. C3×#634 | C9 | direct (N × H) |
| 45. C32×C9 | Dic6 | semidirect |
| 46. C32×C9 | C3×Q8 | semidirect |
| 48. #634 | C3×C9 | direct (N × H) |
| 81. C33 | Q8×C9 | semidirect |
| 88. C3×C9 | C3×Dic6 | semidirect |
| 89. C3×C9 | #634 | direct (N × H) |
| 117. C32 | C9×Dic6 | semidirect |
| 118. C32 | C3×Q8×C9 | semidirect |
| 122. C9 | C3×#634 | direct (N × H) |
| 133. C3 | C3×C9×Dic6 | semidirect |
| 134. C3 | C9×#634 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C33×C4×C9 | 2 |
| C3×C9×C3⋊Dic3 | 2 |
| C32×#634 | 3 |
| C9×#634 | 3 |
| C3×C9×Dic6 | 3 |