Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
388 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 123 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. #34036463 | C2 | semidirect |
| 4. #34036421 | C2 | semidirect |
| 5. #34036369 | C2 | semidirect |
| 6. #34036336 | C2 | semidirect |
| 7. #34036286 | C2 | semidirect |
| 8. C4×Dic1172 | C2 | semidirect |
| 10. #103×D293 | C2 | semidirect |
| 11. #487×C293 | C2 | semidirect |
| 82. D1172 | Q16 | semidirect |
| 122. C293 | #3299 | semidirect |
| 126. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036840 | 2 |
| #34036794 | 2 |
| #34036463 | 2 |
| #34036421 | 2 |
| #34036369 | 2 |
| #34036336 | 2 |
| #34036286 | 2 |
| C4×Dic1172 | 2 |
| C8×D1172 | 2 |
| #103×D293 | 2 |
| #487×C293 | 2 |
| #3299 | 293 |