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 |
|---|---|---|
| 4. #34036415 | C2 | semidirect |
| 5. #34036414 | C2 | semidirect |
| 6. #34036336 | C2 | semidirect |
| 8. #34036236 | C2 | semidirect |
| 9. #34036233 | C2 | semidirect |
| 11. #462×C293 | C2 | semidirect |
| 132. C293 | #3113 | semidirect |
| 140. #462 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| C4×Q8×D293 | 2 |
| #34036458 | 2 |
| #34036415 | 2 |
| #34036414 | 2 |
| #34036336 | 2 |
| #34036283 | 2 |
| #34036236 | 2 |
| #34036233 | 2 |
| #34036185 | 2 |
| #462×C293 | 2 |
| #3113 | 293 |