Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
222 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 36 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. #11757821 | C2 | semidirect |
| 4. D9⋊(C22⋊C9) | C3 | semidirect |
| 11. C9⋊(C22⋊C9) | C2×C3 | semidirect |
| 47. C22×D9 | 3−1+2 | semidirect |
| 75. C22×C9 | C2×3−1+2 | semidirect |
| 108. D9 | #1094 | semidirect |
| 129. C9 | C2×#1094 | semidirect |
| 144. C22 | #6894⋊C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757821 | 2 |
| C22×C32×D9 | 3 |
| D3×#1094 | 3 |
| D9⋊(C22⋊C9) | 3 |
| #6894⋊C2 | 4 |