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. #34036757 | C2 | semidirect |
| 3. #34036496 | C2 | semidirect |
| 4. #34036490 | C2 | semidirect |
| 5. #34036485 | C2 | semidirect |
| 6. #34036478 | C2 | semidirect |
| 9. C2×#22627548 | C2 | semidirect |
| 10. #34036087 | C2 | semidirect |
| 11. #419×C293 | C2 | semidirect |
| 127. C293 | #3137 | semidirect |
| 135. #419 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036757 | 2 |
| #34036703 | 2 |
| #34036496 | 2 |
| #34036490 | 2 |
| #34036485 | 2 |
| #34036478 | 2 |
| #34036131 | 2 |
| #34036123 | 2 |
| C2×#22627548 | 2 |
| #34036087 | 2 |
| #419×C293 | 2 |
| #3137 | 293 |