Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14558146 | C2 | semidirect |
| 3. #14557932 | C2 | semidirect |
| 4. #14557905 | C2 | semidirect |
| 5. #14557902 | C2 | semidirect |
| 6. #14557778 | C2 | semidirect |
| 7. #14557761 | C2 | semidirect |
| 8. #14557630 | C2 | semidirect |
| 9. #14557624 | C2 | semidirect |
| 10. #14557490 | C2 | semidirect |
| 11. C37×#490 | C2 | semidirect |
| 114. #490 | D37 | semidirect |
| 120. C37 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558146 | 2 |
| #14558137 | 2 |
| #14557932 | 2 |
| #14557905 | 2 |
| #14557902 | 2 |
| #14557778 | 2 |
| #14557761 | 2 |
| #14557630 | 2 |
| #14557624 | 2 |
| #14557490 | 2 |
| C37×#490 | 2 |
| #3174 | 37 |