Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
456 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 4. #14557637 | C2 | semidirect |
| 5. #14557625 | C2 | semidirect |
| 11. C2×#10596942 | C4 | semidirect |
| 108. C37 | #2950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596942 | 2 |
| #14558011 | 2 |
| #14558010 | 2 |
| #14557637 | 2 |
| #14557625 | 2 |
| #14557569 | 2 |
| #14557543 | 2 |
| #14557491 | 2 |
| C37×#419 | 2 |
| #2950 | 37 |