Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
168 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 53 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. #34036260 | C2 | semidirect |
| 4. #34035881 | C2 | semidirect |
| 5. #34035875 | C2 | semidirect |
| 7. #475×C293 | C2 | semidirect |
| 51. #14556873 | SD16 | semidirect |
| 79. C293 | #1686 | semidirect |
| 82. #475 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036503 | 2 |
| #34036329 | 2 |
| #34036260 | 2 |
| #34035881 | 2 |
| #34035875 | 2 |
| #34035872 | 2 |
| #475×C293 | 2 |
| #1686 | 293 |