Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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. #34036757 | C2 | semidirect |
| 5. #34035897 | C2 | semidirect |
| 6. #34035889 | C2 | semidirect |
| 7. #339×C293 | C2 | semidirect |
| 32. C2×D1172 | Q8 | semidirect |
| 112. C293 | #2027 | semidirect |
| 120. #339 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036757 | 2 |
| #34036135 | 2 |
| #34036133 | 2 |
| #34036031 | 2 |
| #34035897 | 2 |
| #34035889 | 2 |
| #339×C293 | 2 |
| #2027 | 293 |