Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
246 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 246 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 |
|---|---|---|
| 2. #14557590 | C2 | semidirect |
| 3. #14557265 | C2 | semidirect |
| 4. #14557262 | C2 | semidirect |
| 5. C37×#431 | C2 | semidirect |
| 100. #431 | D37 | semidirect |
| 103. C37 | #1488 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10596962 | 2 |
| #14557590 | 2 |
| #14557265 | 2 |
| #14557262 | 2 |
| C37×#431 | 2 |
| #1488 | 37 |