Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 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. Q8×Dic586 | C2 | semidirect |
| 3. #34036479 | C2 | semidirect |
| 5. #34036414 | C2 | semidirect |
| 7. #34036336 | C2 | semidirect |
| 8. #34036260 | C2 | semidirect |
| 9. #34036234 | C2 | semidirect |
| 116. C293 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic586 | 2 |
| #34036488 | 2 |
| #34036479 | 2 |
| #34036419 | 2 |
| #34036414 | 2 |
| #34036348 | 2 |
| #34036336 | 2 |
| #34036260 | 2 |
| #34036234 | 2 |
| C4×#17989790 | 2 |
| #556×C293 | 2 |
| #3369 | 293 |