Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
740 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 197 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×D4×Dic37 | C2 | semidirect |
| 3. C2×#11924498 | C2 | semidirect |
| 4. #14557435 | C2 | semidirect |
| 5. #14557410 | C2 | semidirect |
| 6. #14557409 | C2 | semidirect |
| 7. #14557398 | C2 | semidirect |
| 8. #14557379 | C2 | semidirect |
| 9. C37×#390 | C2 | semidirect |
| 14. #11924532 | C4 | semidirect |
| 34. C2×D4×C37 | C2×C4 | semidirect |
| 40. C2×C22⋊D37 | C2×C4 | semidirect |
| 49. C2×D148 | C2×C4 | semidirect |
| 59. C4×Dic37 | C2×C4 | semidirect |
| 60. C4×Dic37 | D4 | semidirect |
| 128. #390 | D37 | semidirect |
| 133. C37 | #2328 | semidirect |
| 164. C2×D4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924532 | 2 |
| C2×D4×Dic37 | 2 |
| C2×#11924498 | 2 |
| #14557435 | 2 |
| #14557410 | 2 |
| #14557409 | 2 |
| #14557398 | 2 |
| #14557379 | 2 |
| C37×#390 | 2 |
| #2328 | 37 |