Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #14557841 | C2 | semidirect |
| 5. #14557744 | C2 | semidirect |
| 7. #14557641 | C2 | semidirect |
| 8. C4×Dic148 | C2 | semidirect |
| 105. C37 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558145 | 2 |
| #14558010 | 2 |
| #14557875 | 2 |
| #14557841 | 2 |
| #14557744 | 2 |
| #14557691 | 2 |
| #14557641 | 2 |
| C4×Dic148 | 2 |
| C37×#433 | 2 |
| #3127 | 37 |