Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 1. #34036760 | C2 | semidirect |
| 3. #34036496 | C2 | semidirect |
| 4. #34036487 | C2 | semidirect |
| 5. #34036482 | C2 | semidirect |
| 6. #34036478 | C2 | semidirect |
| 7. #34036139 | C2 | semidirect |
| 9. C2×#22627547 | C2 | semidirect |
| 10. #34036087 | C2 | semidirect |
| 127. C293 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036760 | 2 |
| #34036700 | 2 |
| #34036496 | 2 |
| #34036487 | 2 |
| #34036482 | 2 |
| #34036478 | 2 |
| #34036139 | 2 |
| #34036125 | 2 |
| C2×#22627547 | 2 |
| #34036087 | 2 |
| #417×C293 | 2 |
| #3137 | 293 |