Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
252 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #14557582 | C2 | semidirect |
| 3. #14557581 | C2 | semidirect |
| 6. #14557298 | C2 | semidirect |
| 7. C37×#341 | C2 | semidirect |
| 98. #341 | D37 | semidirect |
| 99. C37 | #1858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558299 | 2 |
| #14557582 | 2 |
| #14557581 | 2 |
| #14557515 | 2 |
| #14557499 | 2 |
| #14557298 | 2 |
| C37×#341 | 2 |
| #1858 | 37 |