Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14557936 | C2 | semidirect |
| 4. #14557885 | C2 | semidirect |
| 6. #14557255 | C2 | semidirect |
| 7. C37×#498 | C2 | semidirect |
| 54. #64436 | SD16 | semidirect |
| 71. #498 | D37 | semidirect |
| 77. C37 | #1714 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557936 | 2 |
| #14557907 | 2 |
| #14557885 | 2 |
| #14557880 | 2 |
| #14557255 | 2 |
| C37×#498 | 2 |
| #1714 | 37 |