Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. C2×C8×Dic37 | C2 | semidirect |
| 5. #14557297 | C2 | semidirect |
| 6. #14557292 | C2 | semidirect |
| 7. C37×#424 | C2 | semidirect |
| 13. #11924459 | C4 | semidirect |
| 14. #11924456 | C4 | semidirect |
| 91. #424 | D37 | semidirect |
| 98. C37 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924462 | 2 |
| #14557527 | 2 |
| #14557499 | 2 |
| C2×C8×Dic37 | 2 |
| #14557297 | 2 |
| #14557292 | 2 |
| C37×#424 | 2 |
| #1937 | 37 |