Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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. C2×#11924493 | C2 | semidirect |
| 3. C2×C4⋊C4×D37 | C2 | semidirect |
| 4. #14557439 | C2 | semidirect |
| 5. #14557438 | C2 | semidirect |
| 6. #14557436 | C2 | semidirect |
| 7. #14557409 | C2 | semidirect |
| 8. #14557391 | C2 | semidirect |
| 9. C37×#390 | C2 | semidirect |
| 12. C2×#10596964 | C4 | semidirect |
| 36. C2×D4×C37 | C2×C4 | semidirect |
| 45. C22×Dic37 | C2×C4 | semidirect |
| 58. C2×Dic74 | C2×C4 | semidirect |
| 102. C4×D37 | C22⋊C4 | semidirect |
| 140. #390 | D37 | semidirect |
| 143. C37 | #2311 | semidirect |
| 177. C2×D4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596964 | 2 |
| C2×#11924493 | 2 |
| C2×C4⋊C4×D37 | 2 |
| #14557439 | 2 |
| #14557438 | 2 |
| #14557436 | 2 |
| #14557409 | 2 |
| #14557391 | 2 |
| C37×#390 | 2 |
| #2311 | 37 |