Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #34036480 | C2 | semidirect |
| 4. #34036465 | C2 | semidirect |
| 5. #34036425 | C2 | semidirect |
| 6. #34036370 | C2 | semidirect |
| 7. #34036340 | C2 | semidirect |
| 8. #34036287 | C2 | semidirect |
| 9. C4×Dic1172 | C2 | semidirect |
| 10. C2×#22627549 | C2 | semidirect |
| 93. D4×C293 | Q16 | semidirect |
| 122. C293 | #3299 | semidirect |
| 208. D4 | Dic1172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036836 | 2 |
| D4×Dic586 | 2 |
| #34036480 | 2 |
| #34036465 | 2 |
| #34036425 | 2 |
| #34036370 | 2 |
| #34036340 | 2 |
| #34036287 | 2 |
| C4×Dic1172 | 2 |
| C2×#22627549 | 2 |
| C8×D4×C293 | 2 |
| #3299 | 293 |