Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
218 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 218 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 |
|---|---|---|
| 2. #14557820 | C2 | semidirect |
| 3. #14557282 | C2 | semidirect |
| 4. #14557262 | C2 | semidirect |
| 5. C37×#494 | C2 | semidirect |
| 62. #494 | D37 | semidirect |
| 66. C37 | #1634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558249 | 2 |
| #14557820 | 2 |
| #14557282 | 2 |
| #14557262 | 2 |
| C37×#494 | 2 |
| #1634 | 37 |