Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 2. #34036495 | C2 | semidirect |
| 3. #34036477 | C2 | semidirect |
| 4. #34036426 | C2 | semidirect |
| 5. #34036406 | C2 | semidirect |
| 6. #34036329 | C2 | semidirect |
| 7. #34036329 | C2 | semidirect |
| 8. #34036260 | C2 | semidirect |
| 9. #34036227 | C2 | semidirect |
| 10. C4×#17989789 | C2 | semidirect |
| 11. #557×C293 | C2 | semidirect |
| 93. Q8×C293 | #41 | semidirect |
| 124. C293 | #3368 | semidirect |
| 126. #557 | D293 | semidirect |
| 204. Q8 | #17989803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036801 | 2 |
| #34036495 | 2 |
| #34036477 | 2 |
| #34036426 | 2 |
| #34036406 | 2 |
| #34036329 | 2 |
| #34036260 | 2 |
| #34036227 | 2 |
| C4×#17989789 | 2 |
| #557×C293 | 2 |
| #3368 | 293 |