Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #34036139 | C2 | semidirect |
| 5. C2×#22627542 | C2 | semidirect |
| 6. #34035900 | C2 | semidirect |
| 7. #338×C293 | C2 | semidirect |
| 12. C2×Dic1172 | C4 | semidirect |
| 13. C2×#17989791 | C4 | semidirect |
| 107. C293 | #1902 | semidirect |
| 115. #338 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627657 | 2 |
| #34036895 | 2 |
| #34036145 | 2 |
| #34036139 | 2 |
| C2×#22627542 | 2 |
| #34035900 | 2 |
| #338×C293 | 2 |
| #1902 | 293 |