Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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. #34036029 | C2 | semidirect |
| 3. #34036023 | C2 | semidirect |
| 4. #34036017 | C2 | semidirect |
| 5. #34036005 | C2 | semidirect |
| 6. #34035985 | C2 | semidirect |
| 7. #379×C293 | C2 | semidirect |
| 9. C22×C4×D293 | C22 | semidirect |
| 10. #22627593 | C4 | semidirect |
| 11. C2×#17989781 | C22 | semidirect |
| 15. C2×#17989779 | C22 | semidirect |
| 16. C2×C4×Dic293 | C22 | semidirect |
| 17. #22627531 | C22 | semidirect |
| 18. #22627531 | C22 | semidirect |
| 33. C22⋊Dic293 | C2×C4 | semidirect |
| 38. C24×C293 | C2×C4 | semidirect |
| 95. C293 | #2375 | semidirect |
| 103. #379 | D293 | semidirect |
| 121. C24 | C4×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627593 | 2 |
| #34036029 | 2 |
| #34036023 | 2 |
| #34036017 | 2 |
| #34036005 | 2 |
| #34035985 | 2 |
| #379×C293 | 2 |
| #2375 | 293 |