Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
543 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 543 conjugacy classes of subgroups — too many to draw. Only its 108 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×#66437 | C2 | semidirect |
| 4. D3×#1094 | C3 | semidirect |
| 5. C3×D3×C22⋊C9 | C3 | semidirect |
| 10. C3×#1094 | C2×C3 | semidirect |
| 11. C32×C22⋊C9 | C2×C3 | semidirect |
| 15. #66437 | D3 | direct (N × H) |
| 38. #1094 | C3×D3 | semidirect |
| 42. C3×C22⋊C9 | C3×D3 | semidirect |
| 97. C22×D3 | #737 | semidirect |
| 118. C22×C3 | C2×#737 | semidirect |
| 142. D3 | #66437 | direct (N × H) |
| 145. C22 | D3×#737 | semidirect |
| 149. C3 | C2×#66437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66437 | 2 |
| C22×D3×H(3,𝔽3) | 3 |
| C2×#66437 | 3 |
| D3×#1094 | 3 |
| C3×D3×C22⋊C9 | 3 |
| D3×#737 | 4 |