Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
652 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 229 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×#11924493 | C2 | semidirect |
| 4. #14557431 | C2 | semidirect |
| 5. #14557424 | C2 | semidirect |
| 6. C4×C4⋊Dic37 | C2 | semidirect |
| 7. C4×#10596938 | C2 | semidirect |
| 8. C43×C37 | C2 | semidirect |
| 11. C4×D148 | C4 | semidirect |
| 44. C42×C37 | D4 | semidirect |
| 92. C4×C37 | #117 | semidirect |
| 110. C43 | D37 | semidirect |
| 111. C37 | #2293 | semidirect |
| 154. C42 | D148 | semidirect |
| 197. C4 | #11924493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D148 | 2 |
| C2×#11924493 | 2 |
| #14557435 | 2 |
| #14557431 | 2 |
| #14557424 | 2 |
| C4×C4⋊Dic37 | 2 |
| C4×#10596938 | 2 |
| C43×C37 | 2 |
| #2293 | 37 |