Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
234 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 40 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. C9×#1094 | C2 | semidirect |
| 4. D9×C22⋊C9 | C3 | semidirect |
| 12. C9×C22⋊C9 | C2×C3 | semidirect |
| 37. #1094 | D9 | direct (N × H) |
| 48. C22×D9 | 3−1+2 | semidirect |
| 76. C22×C9 | C2×3−1+2 | semidirect |
| 81. C22⋊C9 | C3×D9 | semidirect |
| 111. D9 | #1094 | direct (N × H) |
| 133. C9 | C2×#1094 | semidirect |
| 148. C22 | D9×3−1+2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#1094 | 2 |
| C22×C32×D9 | 3 |
| D3×#1094 | 3 |
| D9×C22⋊C9 | 3 |
| D9×3−1+2 | 4 |