Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14558016 | C2 | semidirect |
| 3. #14557543 | C2 | semidirect |
| 4. #14557535 | C2 | semidirect |
| 5. #14557530 | C2 | semidirect |
| 6. C2×#11924461 | C2 | semidirect |
| 7. C2×#131×C37 | C2 | semidirect |
| 9. #11924583 | C4 | semidirect |
| 38. #10596962 | C2×C4 | semidirect |
| 43. C2×Dic74 | C2×C4 | semidirect |
| 96. C2×#131 | D37 | semidirect |
| 102. C37 | #2898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924583 | 2 |
| #14558016 | 2 |
| #14557543 | 2 |
| #14557535 | 2 |
| #14557530 | 2 |
| C2×#11924461 | 2 |
| C2×#131×C37 | 2 |
| #2898 | 37 |