Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
740 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×D148 | C2 | semidirect |
| 3. #14557436 | C2 | semidirect |
| 4. #14557434 | C2 | semidirect |
| 5. #14557412 | C2 | semidirect |
| 6. #14557409 | C2 | semidirect |
| 7. #14557398 | C2 | semidirect |
| 8. #14557379 | C2 | semidirect |
| 9. C2×C4×D4×C37 | C2 | semidirect |
| 13. #11924532 | C4 | semidirect |
| 34. C2×D4×C37 | C2×C4 | semidirect |
| 43. C2×C22⋊D37 | C2×C4 | semidirect |
| 49. C2×D148 | C2×C4 | semidirect |
| 54. C42×C37 | D4 | semidirect |
| 60. C4×Dic37 | C2×C4 | semidirect |
| 126. C2×C4×D4 | D37 | semidirect |
| 133. C37 | #2328 | semidirect |
| 164. C2×D4 | C4×D37 | semidirect |
| 184. C42 | C22⋊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×C4×D148 | 2 |
| #14557436 | 2 |
| #14557434 | 2 |
| #14557412 | 2 |
| #14557409 | 2 |
| #14557398 | 2 |
| #14557379 | 2 |
| C2×C4×D4×C37 | 2 |
| #2328 | 37 |