Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
166 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 166 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 |
|---|---|---|
| 2. #14557744 | C2 | semidirect |
| 4. #14557657 | C2 | semidirect |
| 5. #14557285 | C2 | semidirect |
| 6. #14557278 | C2 | semidirect |
| 86. C37 | #1682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557879 | 2 |
| #14557744 | 2 |
| #14557730 | 2 |
| #14557657 | 2 |
| #14557285 | 2 |
| #14557278 | 2 |
| C37×#331 | 2 |
| #1682 | 37 |