Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
176 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557880 | C2 | semidirect |
| 2. #14557738 | C2 | semidirect |
| 4. #14557284 | C2 | semidirect |
| 5. #14557278 | C2 | semidirect |
| 6. #14557276 | C2 | semidirect |
| 7. C37×#436 | C2 | semidirect |
| 88. #436 | D37 | semidirect |
| 92. C37 | #1701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557880 | 2 |
| #14557738 | 2 |
| #14557728 | 2 |
| #14557284 | 2 |
| #14557278 | 2 |
| #14557276 | 2 |
| C37×#436 | 2 |
| #1701 | 37 |