Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
233 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 233 conjugacy classes of subgroups — too many to draw. Only its 51 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×#92308 | C2 | semidirect |
| 2. C4×#6896 | C2 | semidirect |
| 16. C4×C9⋊C9 | D3 | semidirect |
| 19. C4×C92 | D3 | semidirect |
| 20. #6896 | D4 | semidirect |
| 51. C9⋊C9 | D12 | semidirect |
| 54. C92 | D12 | semidirect |
| 142. C4 | #92308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92308 | 2 |
| C4×#6896 | 2 |
| C4⋊#4181 | 3 |
| C4⋊(D9⋊C9) | 3 |
| C4⋊((C3⋊D3)⋊C9) | 3 |
| C9×D36 | 3 |