Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #34036139 | C2 | semidirect |
| 4. #34036035 | C2 | semidirect |
| 5. #34035897 | C2 | semidirect |
| 6. #34035889 | C2 | semidirect |
| 10. #22627654 | C4 | semidirect |
| 33. C2×Dic586 | C2×C4 | semidirect |
| 40. #17989786 | C2×C4 | semidirect |
| 124. C293 | #1882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627654 | 2 |
| #34036612 | 2 |
| #34036139 | 2 |
| #34036035 | 2 |
| #34035897 | 2 |
| #34035889 | 2 |
| C2×#104×C293 | 2 |
| #1882 | 293 |