Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14558090 | C2 | semidirect |
| 3. #14557938 | C2 | semidirect |
| 4. #14557906 | C2 | semidirect |
| 5. #14557884 | C2 | semidirect |
| 6. #14557880 | C2 | semidirect |
| 7. #14557779 | C2 | semidirect |
| 8. #14557635 | C2 | semidirect |
| 9. C4×M16×C37 | C2 | semidirect |
| 90. C8×C37 | #41 | semidirect |
| 121. C4×M16 | D37 | semidirect |
| 122. C37 | #3182 | semidirect |
| 203. C8 | #10596962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| #14558083 | 2 |
| #14557938 | 2 |
| #14557906 | 2 |
| #14557884 | 2 |
| #14557880 | 2 |
| #14557779 | 2 |
| #14557635 | 2 |
| C4×M16×C37 | 2 |
| #3182 | 37 |