Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
330 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 93 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×C9⋊C9 | C2 | semidirect |
| 3. C3⋊(Dic9⋊C9) | C2 | semidirect |
| 8. C3⋊(D9⋊C9) | C4 | direct (N × H) |
| 18. C4×C9⋊C9 | D3 | semidirect |
| 20. C3×C9⋊C9 | C2×C4 | semidirect |
| 22. C4×C3⋊D9 | C9 | semidirect |
| 47. C3×C4×C9 | C2×C9 | semidirect |
| 50. C3⋊Dic9 | C2×C9 | semidirect |
| 58. C9⋊C9 | C4×D3 | semidirect |
| 75. C3⋊D9 | C4×C9 | semidirect |
| 97. C4×C9 | D3×C9 | semidirect |
| 106. C3×C9 | C2×C4×C9 | semidirect |
| 133. C3×C4 | D9⋊C9 | semidirect |
| 147. C9 | C4×D3×C9 | semidirect |
| 159. C4 | C3⋊(D9⋊C9) | direct (N × H) |
| 162. C3 | C4×D9⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3⋊(D9⋊C9) | 2 |
| C3×C4×C9⋊C9 | 2 |
| C3⋊(Dic9⋊C9) | 2 |
| C4×C9×C3⋊D3 | 3 |
| C3×C4×C3⋊D9 | 3 |
| C4×D9⋊C9 | 3 |