Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
368 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14557913 | C2 | semidirect |
| 3. #14557885 | C2 | semidirect |
| 5. #14557627 | C2 | semidirect |
| 7. C37×#500 | C2 | semidirect |
| 57. C4×D37 | Q16 | semidirect |
| 79. #500 | D37 | semidirect |
| 85. C37 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558088 | 2 |
| #14557913 | 2 |
| #14557885 | 2 |
| #14557775 | 2 |
| #14557627 | 2 |
| C4×C8×D37 | 2 |
| C37×#500 | 2 |
| #3170 | 37 |