Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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×#11924569 | C2 | semidirect |
| 2. C2×#11924544 | C2 | semidirect |
| 4. #14558109 | C2 | semidirect |
| 5. #14557792 | C2 | semidirect |
| 6. #14557780 | C2 | semidirect |
| 7. #14557775 | C2 | semidirect |
| 8. #14557763 | C2 | semidirect |
| 9. #14557527 | C2 | semidirect |
| 10. C2×#11924459 | C2 | semidirect |
| 11. C37×#428 | C2 | semidirect |
| 63. M16×C37 | D4 | semidirect |
| 152. #428 | D37 | semidirect |
| 155. C37 | #3063 | semidirect |
| 210. M16 | D148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C2×#11924544 | 2 |
| #14558114 | 2 |
| #14558109 | 2 |
| #14557792 | 2 |
| #14557780 | 2 |
| #14557775 | 2 |
| #14557763 | 2 |
| #14557527 | 2 |
| C2×#11924459 | 2 |
| C37×#428 | 2 |
| #3063 | 37 |