Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
292 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #14557431 | C2 | semidirect |
| 5. #14557296 | C2 | semidirect |
| 6. #14557296 | C2 | semidirect |
| 7. C2×C4×C8×C37 | C2 | semidirect |
| 16. #11924458 | C4 | semidirect |
| 121. C2×C4×C8 | D37 | semidirect |
| 126. C37 | #1934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924458 | 2 |
| #14557435 | 2 |
| #14557431 | 2 |
| #14557296 | 2 |
| C2×C4×C8×C37 | 2 |
| #1934 | 37 |