Finite Group DatabasebetaFinite Group DatabasebetaOrder 13851.
200 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 43 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. #17987524 | C3 | semidirect |
| 2. #17987512 | C3 | semidirect |
| 3. #17987469 | C3 | semidirect |
| 4. #17987392 | C3 | semidirect |
| 5. #17987379 | C3 | semidirect |
| 6. #17987370 | C3 | semidirect |
| 7. C19×#6879 | C3 | semidirect |
| 12. #13095322 | C32 | semidirect |
| 18. #13095306 | C32 | semidirect |
| 20. C19×#732 | C32 | semidirect |
| 21. C92×C19 | C32 | semidirect |
| 43. #6879 | C19⋊C3 | semidirect |
| 65. #732 | C3×C19⋊C3 | semidirect |
| 70. C92 | C3×C19⋊C3 | semidirect |
| 92. C19 | #10624851 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #17987524 | 3 |
| #17987512 | 3 |
| #17987469 | 3 |
| #17987392 | 3 |
| #17987379 | 3 |
| #17987370 | 3 |
| C19×#6879 | 3 |
| #10624851 | 19 |