Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036845 | C2 | semidirect |
| 2. #34036801 | C2 | semidirect |
| 3. #34036477 | C2 | semidirect |
| 4. #34036456 | C2 | semidirect |
| 5. #34036366 | C2 | semidirect |
| 6. #34036325 | C2 | semidirect |
| 7. #34036277 | C2 | semidirect |
| 8. C4×#17989789 | C2 | semidirect |
| 9. #34036194 | C2 | semidirect |
| 10. #34036124 | C2 | semidirect |
| 11. #477×C293 | C2 | semidirect |
| 132. C293 | #3305 | semidirect |
| 138. #477 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036845 | 2 |
| #34036801 | 2 |
| #34036477 | 2 |
| #34036456 | 2 |
| #34036366 | 2 |
| #34036325 | 2 |
| #34036277 | 2 |
| C4×#17989789 | 2 |
| #34036194 | 2 |
| #34036124 | 2 |
| #477×C293 | 2 |
| #3305 | 293 |