Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 3. #14557286 | C2 | semidirect |
| 4. #14557279 | C2 | semidirect |
| 5. C37×#500 | C2 | semidirect |
| 44. C8×C37 | SD16 | semidirect |
| 63. #500 | D37 | semidirect |
| 68. C37 | #1673 | semidirect |
| 109. C8 | #10596941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557735 | 2 |
| C8×D148 | 2 |
| #14557286 | 2 |
| #14557279 | 2 |
| C37×#500 | 2 |
| #1673 | 37 |