Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
205 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 205 conjugacy classes of subgroups — too many to draw. Only its 42 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. 3−1+2×C22⋊C9 | C2 | semidirect |
| 4. C9×(C22⋊C9)⋊C2 | C3 | semidirect |
| 12. C9×C22⋊C9 | C2×C3 | semidirect |
| 29. C22×3−1+2 | D9 | semidirect |
| 47. (C22⋊C9)⋊C2 | 3−1+2 | direct (N × H) |
| 72. C22×C9 | C3×D9 | semidirect |
| 76. C22⋊C9 | C2×3−1+2 | semidirect |
| 81. 3−1+2 | (C22⋊C9)⋊C2 | direct (N × H) |
| 124. C9 | C3×(C22⋊C9)⋊C2 | semidirect |
| 135. 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 |
|---|---|
| 3−1+2×C22⋊C9 | 2 |
| C32×(C22⋊C9)⋊C2 | 3 |
| #67×3−1+2 | 3 |
| C9×(C22⋊C9)⋊C2 | 3 |
| D9×3−1+2 | 4 |