Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
356 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14557938 | C2 | semidirect |
| 3. #14557934 | C2 | semidirect |
| 4. #14557929 | C2 | semidirect |
| 7. C37×#500 | C2 | semidirect |
| 43. C8×D37 | Q8 | semidirect |
| 79. #500 | D37 | semidirect |
| 84. C37 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558088 | 2 |
| #14557938 | 2 |
| #14557934 | 2 |
| #14557929 | 2 |
| #14557570 | 2 |
| C4×C8×D37 | 2 |
| C37×#500 | 2 |
| #3160 | 37 |