Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
287 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 287 conjugacy classes of subgroups — too many to draw. Only its 72 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. C22×#6894 | C2 | semidirect |
| 2. C2×#6894⋊C2 | C2 | semidirect |
| 3. #6894⋊C4 | C2 | semidirect |
| 6. #611⋊C9 | C3 | semidirect |
| 17. C22×C9⋊C9 | C2×C3 | semidirect |
| 19. C2×D9⋊C9 | C2×C3 | semidirect |
| 20. Dic9⋊C9 | C2×C3 | semidirect |
| 21. #6894 | D4 | semidirect |
| 62. C9⋊C9 | C3×D4 | semidirect |
| 68. #611 | 3−1+2 | semidirect |
| 108. C22×C9 | C2×3−1+2 | semidirect |
| 109. C2×D9 | C2×3−1+2 | semidirect |
| 111. Dic9 | C2×3−1+2 | semidirect |
| 169. C9 | D4×3−1+2 | semidirect |
| 185. C22 | #6894⋊C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6894 | 2 |
| C2×#6894⋊C2 | 2 |
| #6894⋊C4 | 2 |
| #67×3−1+2 | 3 |
| C32×#611 | 3 |
| #611⋊C9 | 3 |