Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036849 | C2 | semidirect |
| 2. #34036836 | C2 | semidirect |
| 3. #34036482 | C2 | semidirect |
| 4. #34036480 | C2 | semidirect |
| 5. #34036435 | C2 | semidirect |
| 6. #34036419 | C2 | semidirect |
| 8. #34036334 | C2 | semidirect |
| 9. C8×Dic586 | C2 | semidirect |
| 10. #34036220 | C2 | semidirect |
| 120. C293 | #3360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036849 | 2 |
| #34036836 | 2 |
| #34036482 | 2 |
| #34036480 | 2 |
| #34036435 | 2 |
| #34036419 | 2 |
| #34036342 | 2 |
| #34036334 | 2 |
| C8×Dic586 | 2 |
| #34036220 | 2 |
| C4×D8×C293 | 2 |
| #3360 | 293 |