Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #34036661 | C2 | semidirect |
| 2. #34036530 | C2 | semidirect |
| 3. #34036512 | C2 | semidirect |
| 4. #34036482 | C2 | semidirect |
| 5. #34036371 | C2 | semidirect |
| 7. #34036357 | C2 | semidirect |
| 8. C4×Dic1172 | C2 | semidirect |
| 9. C4×#17989790 | C2 | semidirect |
| 10. C4×C8×D293 | C2 | semidirect |
| 11. C4×D8×C293 | C2 | semidirect |
| 118. C293 | #3168 | semidirect |
| 129. C4×D8 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036661 | 2 |
| #34036530 | 2 |
| #34036512 | 2 |
| #34036482 | 2 |
| #34036371 | 2 |
| #34036362 | 2 |
| #34036357 | 2 |
| C4×Dic1172 | 2 |
| C4×#17989790 | 2 |
| C4×C8×D293 | 2 |
| C4×D8×C293 | 2 |
| #3168 | 293 |