Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #34036782 | C2 | semidirect |
| 3. #34036469 | C2 | semidirect |
| 4. #34036416 | C2 | semidirect |
| 5. #34036361 | C2 | semidirect |
| 6. #34036331 | C2 | semidirect |
| 7. #34036277 | C2 | semidirect |
| 8. C4×D2344 | C2 | semidirect |
| 9. C8×D1172 | C2 | semidirect |
| 10. #34036124 | C2 | semidirect |
| 11. #487×C293 | C2 | semidirect |
| 130. C293 | #3303 | semidirect |
| 134. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036845 | 2 |
| #34036782 | 2 |
| #34036469 | 2 |
| #34036416 | 2 |
| #34036361 | 2 |
| #34036331 | 2 |
| #34036277 | 2 |
| C4×D2344 | 2 |
| C8×D1172 | 2 |
| #34036124 | 2 |
| #487×C293 | 2 |
| #3303 | 293 |