Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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×#11924568 | C2 | semidirect |
| 3. C2×Q16×D37 | C2 | semidirect |
| 4. #14558108 | C2 | semidirect |
| 5. #14557926 | C2 | semidirect |
| 6. #14557925 | C2 | semidirect |
| 7. #14557918 | C2 | semidirect |
| 8. #14557917 | C2 | semidirect |
| 9. #14557911 | C2 | semidirect |
| 10. #14557487 | C2 | semidirect |
| 11. C37×#494 | C2 | semidirect |
| 131. #494 | D37 | semidirect |
| 133. C37 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924568 | 2 |
| C2×#11924559 | 2 |
| C2×Q16×D37 | 2 |
| #14558108 | 2 |
| #14557926 | 2 |
| #14557925 | 2 |
| #14557918 | 2 |
| #14557917 | 2 |
| #14557911 | 2 |
| #14557487 | 2 |
| C37×#494 | 2 |
| #3156 | 37 |