Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
444 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 444 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. #34036946 | C2 | semidirect |
| 2. #34036945 | C2 | semidirect |
| 3. #34036942 | C2 | semidirect |
| 4. #34036507 | C2 | semidirect |
| 5. #34036405 | C2 | semidirect |
| 6. #34036403 | C2 | semidirect |
| 7. #34036314 | C2 | semidirect |
| 8. #34036310 | C2 | semidirect |
| 9. #34036245 | C2 | semidirect |
| 10. #34036244 | C2 | semidirect |
| 11. #473×C293 | C2 | semidirect |
| 146. C293 | #3293 | semidirect |
| 154. #473 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036946 | 2 |
| #34036945 | 2 |
| #34036942 | 2 |
| #34036507 | 2 |
| #34036405 | 2 |
| #34036403 | 2 |
| #34036314 | 2 |
| #34036310 | 2 |
| #34036245 | 2 |
| #34036244 | 2 |
| #473×C293 | 2 |
| #3293 | 293 |