Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14557895 | C2 | semidirect |
| 3. #14557275 | C2 | semidirect |
| 4. #14557272 | C2 | semidirect |
| 5. C37×#491 | C2 | semidirect |
| 59. #491 | D37 | semidirect |
| 63. C37 | #1662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558281 | 2 |
| #14557895 | 2 |
| #14557275 | 2 |
| #14557272 | 2 |
| C37×#491 | 2 |
| #1662 | 37 |