Finite Group DatabasebetaFinite Group Databasebeta← C3⋊(((C22⋊C9)⋊C2)⋊C9) #14518038
Order 1944.
250 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 43 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×(C22⋊C9)⋊C9 | C2 | semidirect |
| 12. (C22⋊C9)⋊C9 | D3 | semidirect |
| 15. C3⋊((C22⋊C9)⋊C2) | C9 | semidirect |
| 35. C3×C22⋊C9 | C2×C9 | semidirect |
| 75. C22⋊C9 | D3×C9 | semidirect |
| 106. C22×C3 | D9⋊C9 | semidirect |
| 134. C22 | C3⋊(D9⋊C9) | semidirect |
| 138. C3 | ((C22⋊C9)⋊C2)⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×(C22⋊C9)⋊C9 | 2 |
| C3×C3⋊((C22⋊C9)⋊C2) | 3 |
| C9×#638 | 3 |
| ((C22⋊C9)⋊C2)⋊C9 | 3 |
| C3⋊(D9⋊C9) | 4 |