Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×C4×Dic586 | C2 | semidirect |
| 3. #34036465 | C2 | semidirect |
| 5. #34036437 | C2 | semidirect |
| 6. #34036352 | C2 | semidirect |
| 7. #34036287 | C2 | semidirect |
| 9. #34036237 | C2 | semidirect |
| 10. #34036231 | C2 | semidirect |
| 11. #432×C293 | C2 | semidirect |
| 131. C293 | #3117 | semidirect |
| 143. #432 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036663 | 2 |
| C2×C4×Dic586 | 2 |
| #34036465 | 2 |
| #34036448 | 2 |
| #34036437 | 2 |
| #34036352 | 2 |
| #34036287 | 2 |
| #34036270 | 2 |
| #34036237 | 2 |
| #34036231 | 2 |
| #432×C293 | 2 |
| #3117 | 293 |