Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 1. C2×C3⋊(D9⋊C9) | C2 | semidirect |
| 2. C3×C4×C9⋊C9 | C2 | semidirect |
| 15. C4×C9⋊C9 | D3 | semidirect |
| 16. C3×C9⋊C9 | D4 | semidirect |
| 18. C4⋊(C3⋊D9) | C9 | semidirect |
| 32. C2×C3⋊D9 | C2×C9 | semidirect |
| 42. C3×C4×C9 | C2×C9 | semidirect |
| 49. C9⋊C9 | D12 | semidirect |
| 84. C4×C9 | D3×C9 | semidirect |
| 92. C3×C9 | D4×C9 | semidirect |
| 118. C3×C4 | D9⋊C9 | semidirect |
| 130. C9 | C9×D12 | semidirect |
| 141. C4 | C3⋊(D9⋊C9) | semidirect |
| 144. 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 |
| C9×C4⋊(C3⋊D3) | 3 |
| C3×C4⋊(C3⋊D9) | 3 |
| C4⋊(D9⋊C9) | 3 |