Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
664 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 664 conjugacy classes of subgroups — too many to draw. Only its 70 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. C32×#1094 | C2 | semidirect |
| 3. C3⋊D3×C22⋊C9 | C3 | semidirect |
| 11. C3×#1094 | D3 | semidirect |
| 12. C32×C22⋊C9 | C2×C3 | semidirect |
| 38. #1094 | C3⋊D3 | direct (N × H) |
| 40. C3×C22⋊C9 | C3×D3 | semidirect |
| 47. C22×C3⋊D3 | 3−1+2 | semidirect |
| 72. C22×C32 | C2×3−1+2 | semidirect |
| 82. C22⋊C9 | C3×C3⋊D3 | semidirect |
| 109. C3⋊D3 | #1094 | direct (N × H) |
| 122. C22×C3 | D3×3−1+2 | semidirect |
| 132. C32 | C2×#1094 | semidirect |
| 151. C22 | C3⋊D3×3−1+2 | semidirect |
| 155. C3 | D3×#1094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#1094 | 2 |
| C22×C32×C3⋊D3 | 3 |
| C3⋊D3×C22⋊C9 | 3 |
| D3×#1094 | 3 |
| C3⋊D3×3−1+2 | 4 |