Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
154 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557656 | C2 | semidirect |
| 3. #14557646 | C2 | semidirect |
| 4. #14557356 | C2 | semidirect |
| 5. #14557347 | C2 | semidirect |
| 6. #14557344 | C2 | semidirect |
| 7. C37×#347 | C2 | semidirect |
| 12. #11924481 | C4 | semidirect |
| 13. D592 | C4 | semidirect |
| 30. Dic148 | C2×C4 | semidirect |
| 33. D296 | C2×C4 | semidirect |
| 38. C16×C37 | C2×C4 | semidirect |
| 75. #347 | D37 | semidirect |
| 76. C37 | AGL(1,ℤ/16) | semidirect |
| 107. C16 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557971 | 2 |
| #14557656 | 2 |
| #14557646 | 2 |
| #14557356 | 2 |
| #14557347 | 2 |
| #14557344 | 2 |
| C37×#347 | 2 |
| AGL(1,ℤ/16) | 37 |