Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
350 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14558350 | C2 | semidirect |
| 2. #14557974 | C2 | semidirect |
| 3. #14557973 | C2 | semidirect |
| 4. #14557963 | C2 | semidirect |
| 5. C2×#11924482 | C2 | semidirect |
| 6. #14557950 | C2 | semidirect |
| 7. C37×#578 | C2 | semidirect |
| 75. #578 | D37 | semidirect |
| 81. C37 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558350 | 2 |
| #14557974 | 2 |
| #14557973 | 2 |
| #14557963 | 2 |
| C2×#11924482 | 2 |
| #14557950 | 2 |
| C37×#578 | 2 |
| #3417 | 37 |