Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 83 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. #34036172 | C2 | semidirect |
| 5. #34035995 | C2 | semidirect |
| 6. #34035897 | C2 | semidirect |
| 7. #339×C293 | C2 | semidirect |
| 19. #22627552 | C4 | semidirect |
| 38. #17989786 | C2×C4 | semidirect |
| 57. C42×C293 | C2×C4 | semidirect |
| 111. C293 | #1860 | semidirect |
| 119. #339 | D293 | semidirect |
| 169. C42 | C4×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036609 | 2 |
| #34036172 | 2 |
| C2×#22627552 | 2 |
| #34036131 | 2 |
| #34035995 | 2 |
| #34035897 | 2 |
| #339×C293 | 2 |
| #1860 | 293 |