Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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. #34036145 | C2 | semidirect |
| 3. #34036125 | C2 | semidirect |
| 4. #34036097 | C2 | semidirect |
| 5. #34035900 | C2 | semidirect |
| 6. #34035893 | C2 | semidirect |
| 7. #568×C293 | C2 | semidirect |
| 10. #22627654 | C4 | semidirect |
| 12. #22627649 | C4 | semidirect |
| 118. C293 | #1881 | semidirect |
| 121. #568 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036927 | 2 |
| #34036145 | 2 |
| #34036125 | 2 |
| #34036097 | 2 |
| #34035900 | 2 |
| #34035893 | 2 |
| #568×C293 | 2 |
| #1881 | 293 |