Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #14557935 | C2 | semidirect |
| 3. #14557913 | C2 | semidirect |
| 4. #14557902 | C2 | semidirect |
| 7. #14557641 | C2 | semidirect |
| 8. C4×Dic148 | C2 | semidirect |
| 88. C37 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558145 | 2 |
| #14557935 | 2 |
| #14557913 | 2 |
| #14557902 | 2 |
| #14557791 | 2 |
| #14557774 | 2 |
| #14557641 | 2 |
| C4×Dic148 | 2 |
| C37×#405 | 2 |
| #3177 | 37 |