Finite Group DatabasebetaFinite Group Databasebeta← C9×C3⋊((C22⋊C9)⋊C2) #14518037
Order 1944.
286 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 51 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. C3×C9×C22⋊C9 | C2 | semidirect |
| 12. C9×C22⋊C9 | D3 | semidirect |
| 15. C3⋊((C22⋊C9)⋊C2) | C9 | direct (N × H) |
| 28. C22×C3×C9 | D9 | semidirect |
| 36. C3×C22⋊C9 | C2×C9 | semidirect |
| 74. C22×C9 | C3⋊D9 | semidirect |
| 77. C22⋊C9 | D3×C9 | semidirect |
| 88. C3×C9 | (C22⋊C9)⋊C2 | semidirect |
| 109. C22×C3 | C9×D9 | semidirect |
| 127. C9 | C3⋊((C22⋊C9)⋊C2) | direct (N × H) |
| 138. C22 | C9×C3⋊D9 | semidirect |
| 142. C3 | C9×(C22⋊C9)⋊C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C9×C22⋊C9 | 2 |
| C3×C3⋊((C22⋊C9)⋊C2) | 3 |
| C9×#638 | 3 |
| C9×(C22⋊C9)⋊C2 | 3 |
| C9×C3⋊D9 | 4 |