Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #34036750 | C2 | semidirect |
| 2. #34036527 | C2 | semidirect |
| 3. #34036513 | C2 | semidirect |
| 4. #34036489 | C2 | semidirect |
| 5. #34036387 | C2 | semidirect |
| 7. #34036358 | C2 | semidirect |
| 8. #34036242 | C2 | semidirect |
| 9. #34036237 | C2 | semidirect |
| 10. C4×#17989791 | C2 | semidirect |
| 11. #405×C293 | C2 | semidirect |
| 109. C293 | #3173 | semidirect |
| 121. #405 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036750 | 2 |
| #34036527 | 2 |
| #34036513 | 2 |
| #34036489 | 2 |
| #34036387 | 2 |
| #34036382 | 2 |
| #34036358 | 2 |
| #34036242 | 2 |
| #34036237 | 2 |
| C4×#17989791 | 2 |
| #405×C293 | 2 |
| #3173 | 293 |