Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
408 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 60 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. C22×C3×#732 | C2 | semidirect |
| 2. C2×C3⋊#4178 | C2 | semidirect |
| 3. C3⋊#66325 | C2 | semidirect |
| 4. #10619994 | C3 | semidirect |
| 12. C22×C32×C9 | D3 | semidirect |
| 13. C2×C3⋊#272 | C2×C3 | semidirect |
| 15. C3⋊#1084 | C2×C3 | semidirect |
| 18. C22×#732 | D3 | semidirect |
| 21. C3×#732 | D4 | semidirect |
| 56. C22×C3×C9 | C3⋊D3 | semidirect |
| 69. C32×C9 | #67 | semidirect |
| 71. #732 | #67 | semidirect |
| 145. C3×C9 | #638 | semidirect |
| 190. C22×C3 | #4178 | semidirect |
| 235. C22 | C3⋊#4178 | semidirect |
| 242. C3 | #10619649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×#732 | 2 |
| C2×C3⋊#4178 | 2 |
| C3⋊#66325 | 2 |
| #10619994 | 3 |
| C9×#638 | 3 |
| #10619649 | 3 |