Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#10596929 | C2 | semidirect |
| 3. C2×#11924458 | C2 | semidirect |
| 4. C2×#11924456 | C2 | semidirect |
| 5. #14557390 | C2 | semidirect |
| 6. #14557295 | C2 | semidirect |
| 7. C37×#340 | C2 | semidirect |
| 16. #11924511 | C4 | semidirect |
| 50. C2×C8×C37 | D4 | semidirect |
| 61. C2×#64436 | D4 | semidirect |
| 152. #340 | D37 | semidirect |
| 153. C37 | #1895 | semidirect |
| 200. C2×C8 | D148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596929 | 2 |
| C2×#11924511 | 2 |
| C2×#11924458 | 2 |
| C2×#11924456 | 2 |
| #14557390 | 2 |
| #14557295 | 2 |
| C37×#340 | 2 |
| #1895 | 37 |