Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
818 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 818 conjugacy classes of subgroups — too many to draw. Only its 126 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 |
| 4. D3×#1094 | C3 | direct (N × H) |
| 5. C3×D3×C22⋊C9 | C3 | semidirect |
| 13. C3×#1094 | D3 | direct (N × H) |
| 14. C3×#1094 | C2×C3 | semidirect |
| 15. C32×C22⋊C9 | C2×C3 | semidirect |
| 23. D3×C22⋊C9 | C32 | semidirect |
| 47. #1094 | C3×D3 | direct (N × H) |
| 50. C3×C22⋊C9 | C3×D3 | semidirect |
| 51. C3×C22⋊C9 | C2×C32 | semidirect |
| 63. C22×C3×D3 | 3−1+2 | semidirect |
| 98. C22×C32 | C2×3−1+2 | semidirect |
| 109. C22⋊C9 | C32×D3 | semidirect |
| 127. C22×D3 | C3×3−1+2 | semidirect |
| 150. C3×D3 | #1094 | direct (N × H) |
| 163. C22×C3 | D3×3−1+2 | semidirect |
| 164. C22×C3 | C2×C3×3−1+2 | semidirect |
| 176. C32 | C2×#1094 | semidirect |
| 197. D3 | C3×#1094 | direct (N × H) |
| 200. C22 | C3×D3×3−1+2 | semidirect |
| 205. C3 | D3×#1094 | direct (N × H) |
| 206. C3 | C2×C3×#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×C33×D3 | 3 |
| C2×C3×#1094 | 3 |
| D3×#1094 | 3 |
| C3×D3×C22⋊C9 | 3 |
| C3×D3×3−1+2 | 4 |