Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924569 | C2 | semidirect |
| 3. #14558104 | C2 | semidirect |
| 4. #14557791 | C2 | semidirect |
| 5. #14557779 | C2 | semidirect |
| 6. #14557774 | C2 | semidirect |
| 7. #14557762 | C2 | semidirect |
| 8. #14557575 | C2 | semidirect |
| 9. #14557530 | C2 | semidirect |
| 10. C2×#11924461 | C2 | semidirect |
| 11. C2×#131×C37 | C2 | semidirect |
| 64. M16×C37 | D4 | semidirect |
| 145. C2×#131 | D37 | semidirect |
| 155. C37 | #3063 | semidirect |
| 210. M16 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| #14558111 | 2 |
| #14558104 | 2 |
| #14557791 | 2 |
| #14557779 | 2 |
| #14557774 | 2 |
| #14557762 | 2 |
| #14557575 | 2 |
| #14557530 | 2 |
| C2×#11924461 | 2 |
| C2×#131×C37 | 2 |
| #3063 | 37 |