Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14558070 | C2 | semidirect |
| 2. #14557933 | C2 | semidirect |
| 3. #14557918 | C2 | semidirect |
| 4. #14557889 | C2 | semidirect |
| 5. #14557788 | C2 | semidirect |
| 7. #14557782 | C2 | semidirect |
| 8. #14557646 | C2 | semidirect |
| 9. #14557631 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#441 | C2 | semidirect |
| 118. #441 | D37 | semidirect |
| 121. C37 | #3183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558070 | 2 |
| #14557933 | 2 |
| #14557918 | 2 |
| #14557889 | 2 |
| #14557788 | 2 |
| #14557787 | 2 |
| #14557782 | 2 |
| #14557646 | 2 |
| #14557631 | 2 |
| #14557485 | 2 |
| C37×#441 | 2 |
| #3183 | 37 |