Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14557937 | C2 | semidirect |
| 3. #14557335 | C2 | semidirect |
| 4. #14557334 | C2 | semidirect |
| 5. #14557333 | C2 | semidirect |
| 6. C16×Dic37 | C2 | semidirect |
| 7. C37×#357 | C2 | semidirect |
| 78. #357 | D37 | semidirect |
| 80. C37 | #2240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557937 | 2 |
| #14557908 | 2 |
| #14557335 | 2 |
| #14557334 | 2 |
| #14557333 | 2 |
| C16×Dic37 | 2 |
| C37×#357 | 2 |
| #2240 | 37 |