Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #34036859 | C2 | semidirect |
| 3. #34036474 | C2 | semidirect |
| 4. #34036417 | C2 | semidirect |
| 5. #34036416 | C2 | semidirect |
| 6. #34036328 | C2 | semidirect |
| 7. #34036326 | C2 | semidirect |
| 8. C8×Dic586 | C2 | semidirect |
| 9. #34036220 | C2 | semidirect |
| 10. C4×#17989791 | C2 | semidirect |
| 11. #486×C293 | C2 | semidirect |
| 77. Dic586 | SD16 | semidirect |
| 78. Dic586 | #41 | semidirect |
| 125. C293 | #3362 | semidirect |
| 130. #486 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036859 | 2 |
| #34036799 | 2 |
| #34036474 | 2 |
| #34036417 | 2 |
| #34036416 | 2 |
| #34036328 | 2 |
| #34036326 | 2 |
| C8×Dic586 | 2 |
| #34036220 | 2 |
| C4×#17989791 | 2 |
| #486×C293 | 2 |
| #3362 | 293 |