Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557641 | C2 | semidirect |
| 3. #14557357 | C2 | semidirect |
| 4. #14557348 | C2 | semidirect |
| 6. #14557311 | C2 | semidirect |
| 10. #11924482 | C4 | semidirect |
| 11. #11924480 | C4 | semidirect |
| 72. C37 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557973 | 2 |
| #14557641 | 2 |
| #14557357 | 2 |
| #14557348 | 2 |
| #14557343 | 2 |
| #14557311 | 2 |
| C37×#444 | 2 |
| #2180 | 37 |