Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #34036684 | C2 | semidirect |
| 3. #34036469 | C2 | semidirect |
| 4. #34036425 | C2 | semidirect |
| 5. #34036419 | C2 | semidirect |
| 6. #34036336 | C2 | semidirect |
| 8. #34036233 | C2 | semidirect |
| 9. #34036230 | C2 | semidirect |
| 10. #34036185 | C2 | semidirect |
| 11. #461×C293 | C2 | semidirect |
| 136. C293 | #3116 | semidirect |
| 144. #461 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| C4×#17989801 | 2 |
| #34036469 | 2 |
| #34036425 | 2 |
| #34036419 | 2 |
| #34036336 | 2 |
| #34036288 | 2 |
| #34036233 | 2 |
| #34036230 | 2 |
| #34036185 | 2 |
| #461×C293 | 2 |
| #3116 | 293 |