Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 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. #34036944 | C2 | semidirect |
| 2. #34036943 | C2 | semidirect |
| 3. #34036507 | C2 | semidirect |
| 4. #34036404 | C2 | semidirect |
| 5. #34036402 | C2 | semidirect |
| 6. #34036401 | C2 | semidirect |
| 7. #34036312 | C2 | semidirect |
| 8. #34036310 | C2 | semidirect |
| 9. #34036246 | C2 | semidirect |
| 10. #34036244 | C2 | semidirect |
| 11. #578×C293 | C2 | semidirect |
| 146. C293 | #3293 | semidirect |
| 150. #578 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036944 | 2 |
| #34036943 | 2 |
| #34036507 | 2 |
| #34036404 | 2 |
| #34036402 | 2 |
| #34036401 | 2 |
| #34036312 | 2 |
| #34036310 | 2 |
| #34036246 | 2 |
| #34036244 | 2 |
| #578×C293 | 2 |
| #3293 | 293 |