Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #14557437 | C2 | semidirect |
| 5. #14557418 | C2 | semidirect |
| 6. #14557417 | C2 | semidirect |
| 8. C4×#10596936 | C2 | semidirect |
| 11. #11924515 | C4 | semidirect |
| 125. C37 | #2332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924515 | 2 |
| #14557437 | 2 |
| #14557427 | 2 |
| #14557421 | 2 |
| #14557418 | 2 |
| #14557417 | 2 |
| #14557396 | 2 |
| C4×#10596936 | 2 |
| C4×C22⋊C4×C37 | 2 |
| #2332 | 37 |