Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924569 | C2 | semidirect |
| 3. #14558109 | C2 | semidirect |
| 4. #14558013 | C2 | semidirect |
| 5. #14557756 | C2 | semidirect |
| 6. #14557749 | C2 | semidirect |
| 7. #14557744 | C2 | semidirect |
| 8. #14557739 | C2 | semidirect |
| 9. #14557535 | C2 | semidirect |
| 10. C2×#11924461 | C2 | semidirect |
| 11. C37×#424 | C2 | semidirect |
| 155. #424 | D37 | semidirect |
| 158. C37 | #3046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C2×#11924558 | 2 |
| #14558109 | 2 |
| #14558013 | 2 |
| #14557756 | 2 |
| #14557749 | 2 |
| #14557744 | 2 |
| #14557739 | 2 |
| #14557535 | 2 |
| C2×#11924461 | 2 |
| C37×#424 | 2 |
| #3046 | 37 |