Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
287 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 287 conjugacy classes of subgroups — too many to draw. Only its 106 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. #6894⋊C4 | C2 | direct (N × H) |
| 5. C2×Dic9⋊C9 | C3 | semidirect |
| 6. C2×#6894 | C4 | semidirect |
| 15. Dic9⋊C9 | C2×C3 | semidirect |
| 16. #6894 | C2×C4 | semidirect |
| 28. C2×C9⋊C9 | C3×C4 | semidirect |
| 49. C9⋊C9 | C2×C3×C4 | semidirect |
| 55. C2×Dic9 | 3−1+2 | semidirect |
| 88. Dic9 | C2×3−1+2 | semidirect |
| 119. C2×C9 | C4×3−1+2 | semidirect |
| 138. C9 | C2×C4×3−1+2 | semidirect |
| 157. C2 | #6894⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6894 | 2 |
| #6894⋊C4 | 2 |
| C2×Dic3×3−1+2 | 3 |
| C2×C32×Dic9 | 3 |
| C2×Dic9⋊C9 | 3 |