Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
317 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 317 conjugacy classes of subgroups — too many to draw. Only its 39 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×#92173 | C2 | semidirect |
| 2. C4×#6866 | C2 | semidirect |
| 11. C4×C32⋊C9 | D3 | semidirect |
| 12. #6866 | D4 | semidirect |
| 13. C4⋊(C3⋊(C3⋊D3)) | C9 | semidirect |
| 23. C2×C3⋊(C3⋊D3) | C2×C9 | semidirect |
| 32. C33×C4 | C2×C9 | semidirect |
| 39. C32⋊C9 | D12 | semidirect |
| 88. C33 | D4×C9 | semidirect |
| 157. C4 | #92173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92173 | 2 |
| C4×#6866 | 2 |
| C3×C4⋊(C3⋊(C3⋊D3)) | 3 |
| C4⋊((C3⋊D3)⋊C9) | 3 |