Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
246 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14557585 | C2 | semidirect |
| 3. #14557282 | C2 | semidirect |
| 4. #14557276 | C2 | semidirect |
| 5. C37×#333 | C2 | semidirect |
| 69. #333 | D37 | semidirect |
| 71. C37 | #1543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558084 | 2 |
| #14557585 | 2 |
| #14557282 | 2 |
| #14557276 | 2 |
| C37×#333 | 2 |
| #1543 | 37 |