Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 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. #34036663 | C2 | semidirect |
| 2. #34036535 | C2 | semidirect |
| 3. #34036516 | C2 | semidirect |
| 4. #34036493 | C2 | semidirect |
| 5. #34036491 | C2 | semidirect |
| 6. #34036380 | C2 | semidirect |
| 7. #34036373 | C2 | semidirect |
| 8. C4×#17989790 | C2 | semidirect |
| 9. C4×#17989787 | C2 | semidirect |
| 10. C4×#17989786 | C2 | semidirect |
| 11. #532×C293 | C2 | semidirect |
| 91. #14556873 | #41 | semidirect |
| 137. C293 | #3171 | semidirect |
| 139. #532 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036663 | 2 |
| #34036535 | 2 |
| #34036516 | 2 |
| #34036493 | 2 |
| #34036491 | 2 |
| #34036380 | 2 |
| #34036373 | 2 |
| C4×#17989790 | 2 |
| C4×#17989787 | 2 |
| C4×#17989786 | 2 |
| #532×C293 | 2 |
| #3171 | 293 |