Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. #34036682 | C2 | semidirect |
| 3. #34036496 | C2 | semidirect |
| 4. #34036492 | C2 | semidirect |
| 5. #34036490 | C2 | semidirect |
| 6. #34036487 | C2 | semidirect |
| 7. #34036126 | C2 | semidirect |
| 8. #34036125 | C2 | semidirect |
| 9. #34036123 | C2 | semidirect |
| 10. C2×#22627534 | C2 | semidirect |
| 11. #416×C293 | C2 | semidirect |
| 125. C293 | #3135 | semidirect |
| 136. #416 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036682 | 2 |
| #34036675 | 2 |
| #34036496 | 2 |
| #34036492 | 2 |
| #34036490 | 2 |
| #34036487 | 2 |
| #34036126 | 2 |
| #34036125 | 2 |
| #34036123 | 2 |
| C2×#22627534 | 2 |
| #416×C293 | 2 |
| #3135 | 293 |