Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#11924556 | C2 | semidirect |
| 2. C2×#11924543 | C2 | semidirect |
| 3. #14558111 | C2 | semidirect |
| 4. #14557781 | C2 | semidirect |
| 5. #14557777 | C2 | semidirect |
| 6. #14557772 | C2 | semidirect |
| 7. #14557767 | C2 | semidirect |
| 8. C2×#11924469 | C2 | semidirect |
| 9. #14557534 | C2 | semidirect |
| 10. #14557532 | C2 | semidirect |
| 11. C37×#537 | C2 | semidirect |
| 83. C2×#64436 | D4 | semidirect |
| 156. #537 | D37 | semidirect |
| 164. C37 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924556 | 2 |
| C2×#11924543 | 2 |
| #14558111 | 2 |
| #14557781 | 2 |
| #14557777 | 2 |
| #14557772 | 2 |
| #14557767 | 2 |
| C2×#11924469 | 2 |
| #14557534 | 2 |
| #14557532 | 2 |
| C37×#537 | 2 |
| #3061 | 37 |