Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
232 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14557576 | C2 | semidirect |
| 5. #14557301 | C2 | semidirect |
| 6. #14557298 | C2 | semidirect |
| 7. C37×#405 | C2 | semidirect |
| 18. #11924452 | C4 | semidirect |
| 105. #405 | D37 | semidirect |
| 108. C37 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557576 | 2 |
| #14557537 | 2 |
| C2×#11924458 | 2 |
| C2×#11924452 | 2 |
| #14557301 | 2 |
| #14557298 | 2 |
| C37×#405 | 2 |
| #1931 | 37 |