Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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. #34036156 | C2 | semidirect |
| 5. C2×C4×#14556873 | C2 | semidirect |
| 6. #34035893 | C2 | semidirect |
| 7. #339×C293 | C2 | semidirect |
| 14. #22627547 | C4 | semidirect |
| 15. #22627544 | C4 | semidirect |
| 90. C293 | #1937 | semidirect |
| 98. #339 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036156 | 2 |
| C2×#22627552 | 2 |
| #34036123 | 2 |
| #34036097 | 2 |
| C2×C4×#14556873 | 2 |
| #34035893 | 2 |
| #339×C293 | 2 |
| #1937 | 293 |