Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
317 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 317 conjugacy classes of subgroups — too many to draw. Only its 45 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. C4×#6866 | C2 | semidirect |
| 3. #11757296 | C2 | semidirect |
| 7. #92173 | C4 | direct (N × H) |
| 13. C4×C32⋊C9 | D3 | semidirect |
| 15. #6866 | C2×C4 | semidirect |
| 16. C4×C3⋊(C3⋊D3) | C9 | semidirect |
| 35. C33×C4 | C2×C9 | semidirect |
| 37. C3⋊(C3⋊Dic3) | C2×C9 | semidirect |
| 47. C32⋊C9 | C4×D3 | semidirect |
| 62. C3⋊(C3⋊D3) | C4×C9 | semidirect |
| 103. C33 | C2×C4×C9 | semidirect |
| 177. C4 | #92173 | direct (N × H) |
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 |
| #11757296 | 2 |
| C3×C4×C3⋊(C3⋊D3) | 3 |
| C4×(C3⋊D3)⋊C9 | 3 |