Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
196 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 106 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. #34037017 | C2 | semidirect |
| 3. #34037015 | C2 | semidirect |
| 5. #22627699 | C4 | semidirect |
| 14. #17989805 | C2×C4 | semidirect |
| 45. Dic293 | M32 | semidirect |
| 49. C293 | C4×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627699 | 2 |
| #34037017 | 2 |
| #34037015 | 2 |
| C4×C8×D293 | 2 |
| C4×M32 | 293 |