Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #14557491 | C2 | semidirect |
| 4. C2×#11924447 | C2 | semidirect |
| 5. #14557297 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 9. #11924543 | C4 | semidirect |
| 16. #11924460 | C4 | semidirect |
| 17. #11924457 | C4 | semidirect |
| 24. #104×C37 | C4 | semidirect |
| 106. C37 | #1765 | semidirect |
| 118. #104 | Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924543 | 2 |
| #14557529 | 2 |
| #14557491 | 2 |
| C2×#11924447 | 2 |
| #14557297 | 2 |
| #14557293 | 2 |
| C2×#104×C37 | 2 |
| #1765 | 37 |