Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
354 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 2. #34036839 | C2 | semidirect |
| 3. #34036534 | C2 | semidirect |
| 4. #34036469 | C2 | semidirect |
| 5. #34036441 | C2 | semidirect |
| 6. #34036424 | C2 | semidirect |
| 7. #34036419 | C2 | semidirect |
| 8. #34036372 | C2 | semidirect |
| 9. #34036208 | C2 | semidirect |
| 10. #34036168 | C2 | semidirect |
| 11. C4×SD16×C293 | C2 | semidirect |
| 121. C293 | #3357 | semidirect |
| 131. C4×SD16 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036844 | 2 |
| #34036839 | 2 |
| #34036534 | 2 |
| #34036469 | 2 |
| #34036441 | 2 |
| #34036424 | 2 |
| #34036419 | 2 |
| #34036372 | 2 |
| #34036208 | 2 |
| #34036168 | 2 |
| C4×SD16×C293 | 2 |
| #3357 | 293 |