Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
232 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14557573 | C2 | semidirect |
| 5. #14557491 | C2 | semidirect |
| 6. #14557297 | C2 | semidirect |
| 7. C37×#343 | C2 | semidirect |
| 18. #11924452 | C4 | semidirect |
| 106. #343 | 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 |
|---|---|
| #14557573 | 2 |
| #14557539 | 2 |
| C2×#11924456 | 2 |
| C2×#11924452 | 2 |
| #14557491 | 2 |
| #14557297 | 2 |
| C37×#343 | 2 |
| #1931 | 37 |