Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
384 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. C3×C4×C92 | C2 | semidirect |
| 3. C9×C3⋊Dic9 | C2 | semidirect |
| 8. C9×C3⋊D9 | C4 | direct (N × H) |
| 18. C4×C92 | D3 | semidirect |
| 20. C3×C92 | C2×C4 | semidirect |
| 22. C4×C3⋊D9 | C9 | direct (N × H) |
| 47. C3×C4×C9 | D9 | semidirect |
| 48. C3×C4×C9 | C2×C9 | semidirect |
| 51. C3⋊Dic9 | C2×C9 | semidirect |
| 59. C92 | C4×D3 | semidirect |
| 77. C3⋊D9 | C4×C9 | direct (N × H) |
| 99. C4×C9 | D3×C9 | semidirect |
| 100. C4×C9 | C3⋊D9 | direct (N × H) |
| 109. C3×C9 | C4×D9 | semidirect |
| 110. C3×C9 | C2×C4×C9 | semidirect |
| 138. C3×C4 | C9×D9 | semidirect |
| 152. C9 | C4×D3×C9 | semidirect |
| 153. C9 | C4×C3⋊D9 | direct (N × H) |
| 165. C4 | C9×C3⋊D9 | direct (N × H) |
| 168. C3 | C4×C9×D9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×C3⋊D9 | 2 |
| C3×C4×C92 | 2 |
| C9×C3⋊Dic9 | 2 |
| C4×C9×C3⋊D3 | 3 |
| C3×C4×C3⋊D9 | 3 |
| C4×C9×D9 | 3 |