Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #34036794 | C2 | semidirect |
| 3. #34036458 | C2 | semidirect |
| 4. #34036411 | C2 | semidirect |
| 5. #34036361 | C2 | semidirect |
| 6. #34036331 | C2 | semidirect |
| 7. #34036269 | C2 | semidirect |
| 8. C4×#17989791 | C2 | semidirect |
| 9. C8×D1172 | C2 | semidirect |
| 10. #103×D293 | C2 | semidirect |
| 11. #487×C293 | C2 | semidirect |
| 81. Dic586 | #41 | semidirect |
| 85. D1172 | SD16 | semidirect |
| 128. C293 | #3298 | semidirect |
| 132. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036794 | 2 |
| #34036782 | 2 |
| #34036458 | 2 |
| #34036411 | 2 |
| #34036361 | 2 |
| #34036331 | 2 |
| #34036269 | 2 |
| C4×#17989791 | 2 |
| C8×D1172 | 2 |
| #103×D293 | 2 |
| #487×C293 | 2 |
| #3298 | 293 |