Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #14558262 | C2 | semidirect |
| 4. #14557883 | C2 | semidirect |
| 5. #14557842 | C2 | semidirect |
| 8. #14557657 | C2 | semidirect |
| 9. Q16×Dic37 | C2 | semidirect |
| 11. C37×#462 | C2 | semidirect |
| 123. #462 | D37 | semidirect |
| 127. C37 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558262 | 2 |
| #14558257 | 2 |
| #14557889 | 2 |
| #14557883 | 2 |
| #14557842 | 2 |
| #14557814 | 2 |
| #14557757 | 2 |
| #14557657 | 2 |
| Q16×Dic37 | 2 |
| C4×#10596941 | 2 |
| C37×#462 | 2 |
| #3364 | 37 |