Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
138 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 53 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. #34036531 | C2 | semidirect |
| 3. #34035934 | C2 | semidirect |
| 5. C4×C16×C293 | C2 | semidirect |
| 49. C293 | #2242 | semidirect |
| 55. C4×C16 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036531 | 2 |
| #34036513 | 2 |
| #34035934 | 2 |
| #34035931 | 2 |
| C4×C16×C293 | 2 |
| #2242 | 293 |