Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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×#11924558 | C2 | semidirect |
| 2. C2×#11924555 | C2 | semidirect |
| 3. #14558201 | C2 | semidirect |
| 4. #14557908 | C2 | semidirect |
| 5. #14557770 | C2 | semidirect |
| 6. #14557732 | C2 | semidirect |
| 7. #14557679 | C2 | semidirect |
| 8. #14557676 | C2 | semidirect |
| 9. #14557627 | C2 | semidirect |
| 10. C8×C22⋊D37 | C2 | semidirect |
| 11. C37×#466 | C2 | semidirect |
| 76. Dic148 | D4 | semidirect |
| 134. Dic37 | #135 | semidirect |
| 148. #466 | D37 | semidirect |
| 154. C37 | #3287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| C2×#11924555 | 2 |
| #14558201 | 2 |
| #14557908 | 2 |
| #14557770 | 2 |
| #14557732 | 2 |
| #14557679 | 2 |
| #14557676 | 2 |
| #14557627 | 2 |
| C8×C22⋊D37 | 2 |
| C37×#466 | 2 |
| #3287 | 37 |