Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #14557641 | C2 | semidirect |
| 4. #14557356 | C2 | semidirect |
| 5. #14557350 | C2 | semidirect |
| 7. C37×#347 | C2 | semidirect |
| 12. Dic296 | C4 | semidirect |
| 13. #11924481 | C4 | semidirect |
| 71. #347 | D37 | semidirect |
| 72. C37 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557976 | 2 |
| #14557656 | 2 |
| #14557641 | 2 |
| #14557356 | 2 |
| #14557350 | 2 |
| #14557344 | 2 |
| C37×#347 | 2 |
| #2180 | 37 |