Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
216 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14557590 | C2 | semidirect |
| 2. C4×#10596934 | C2 | semidirect |
| 3. #14557275 | C2 | semidirect |
| 4. #14557273 | C2 | semidirect |
| 96. C37 | #1529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557590 | 2 |
| C4×#10596934 | 2 |
| #14557275 | 2 |
| #14557273 | 2 |
| C37×#529 | 2 |
| #1529 | 37 |