Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #34036844 | C2 | semidirect |
| 2. #34036782 | C2 | semidirect |
| 3. #34036479 | C2 | semidirect |
| 4. #34036468 | C2 | semidirect |
| 5. #34036420 | C2 | semidirect |
| 6. #34036355 | C2 | semidirect |
| 7. #34036273 | C2 | semidirect |
| 8. C4×#17989787 | C2 | semidirect |
| 9. #34036194 | C2 | semidirect |
| 10. #34036124 | C2 | semidirect |
| 11. #461×C293 | C2 | semidirect |
| 130. C293 | #3303 | semidirect |
| 138. #461 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036844 | 2 |
| #34036782 | 2 |
| #34036479 | 2 |
| #34036468 | 2 |
| #34036420 | 2 |
| #34036355 | 2 |
| #34036273 | 2 |
| C4×#17989787 | 2 |
| #34036194 | 2 |
| #34036124 | 2 |
| #461×C293 | 2 |
| #3303 | 293 |