Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#11924469 | C2 | semidirect |
| 3. C2×#11924458 | C2 | semidirect |
| 4. C2×C8×Dic37 | C2 | semidirect |
| 5. #14557436 | C2 | semidirect |
| 6. #14557434 | C2 | semidirect |
| 7. C2×#102×C37 | C2 | semidirect |
| 11. C2×#10596939 | C4 | semidirect |
| 84. C2×Dic37 | D8 | semidirect |
| 90. #64436 | C22⋊C4 | semidirect |
| 124. C2×#102 | D37 | semidirect |
| 128. C37 | #1970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596939 | 2 |
| C2×#11924469 | 2 |
| C2×#11924458 | 2 |
| C2×C8×Dic37 | 2 |
| #14557436 | 2 |
| #14557434 | 2 |
| C2×#102×C37 | 2 |
| #1970 | 37 |