Finite Group DatabasebetaFinite Group DatabasebetaOrder 1584.
120 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 9. C3×C11×Dic3 | C4 | semidirect |
| 21. Dic3⋊Dic3 | C11 | direct (N × H) |
| 31. C11×Dic3 | Dic3 | semidirect |
| 32. C32×C11 | C4⋊C4 | semidirect |
| 57. C3×Dic3 | C4×C11 | semidirect |
| 59. C3×C11 | Dic3⋊C4 | semidirect |
| 60. C3×C11 | C4⋊Dic3 | semidirect |
| 84. Dic3 | C11×Dic3 | semidirect |
| 85. C11 | Dic3⋊Dic3 | direct (N × H) |
| 86. C32 | C11×C4⋊C4 | semidirect |
| 104. C3 | C11×Dic3⋊C4 | semidirect |
| 105. C3 | C11×C4⋊Dic3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×C3⋊Dic3 | 2 |
| C2×C3×C11×Dic3 | 2 |
| C11×C4⋊Dic3 | 3 |
| C11×Dic3⋊C4 | 3 |
| Dic3⋊Dic3 | 11 |