Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#11924559 | C2 | semidirect |
| 2. C2×#11924542 | C2 | semidirect |
| 3. #14558113 | C2 | semidirect |
| 4. #14557782 | C2 | semidirect |
| 5. #14557781 | C2 | semidirect |
| 6. #14557771 | C2 | semidirect |
| 7. #14557770 | C2 | semidirect |
| 8. #14557769 | C2 | semidirect |
| 9. #107×D37 | C2 | semidirect |
| 10. #14557533 | C2 | semidirect |
| 11. C37×#467 | C2 | semidirect |
| 80. C8×D37 | D4 | semidirect |
| 150. #467 | D37 | semidirect |
| 155. C37 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| C2×#11924542 | 2 |
| #14558113 | 2 |
| #14557782 | 2 |
| #14557781 | 2 |
| #14557771 | 2 |
| #14557770 | 2 |
| #14557769 | 2 |
| #107×D37 | 2 |
| #14557533 | 2 |
| C37×#467 | 2 |
| #3061 | 37 |