Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
261 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 261 conjugacy classes of subgroups — too many to draw. Only its 36 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×#66361 | C2 | semidirect |
| 3. D3×#1094 | C3 | semidirect |
| 4. C3×D3×C22⋊C9 | C3 | semidirect |
| 10. C3×#1094 | C2×C3 | semidirect |
| 11. C32×C22⋊C9 | C2×C3 | semidirect |
| 15. #66361 | D3 | direct (N × H) |
| 43. #1094 | C3×D3 | semidirect |
| 48. C3×C22⋊C9 | C3×D3 | semidirect |
| 117. C22×D3 | #731 | semidirect |
| 150. C22×C3 | C2×#731 | semidirect |
| 182. D3 | #66361 | direct (N × H) |
| 185. C22 | D3×#731 | semidirect |
| 191. C3 | C2×#66361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66361 | 2 |
| C22×D3×H(3,𝔽3) | 3 |
| D3×#1094 | 3 |
| C3×D3×C22⋊C9 | 3 |
| C2×#66361 | 3 |
| D3×#731 | 4 |