Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924558 | C2 | semidirect |
| 2. C2×#11924542 | C2 | semidirect |
| 3. #14558114 | C2 | semidirect |
| 4. #14557792 | C2 | semidirect |
| 5. #14557787 | C2 | semidirect |
| 6. #14557763 | C2 | semidirect |
| 7. #14557532 | C2 | semidirect |
| 8. C2×#106×C37 | C2 | semidirect |
| 45. C2×C8×C37 | D4 | semidirect |
| 112. C2×#106 | D37 | semidirect |
| 114. C37 | #3060 | semidirect |
| 158. C2×C8 | D148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| C2×#11924542 | 2 |
| #14558114 | 2 |
| #14557792 | 2 |
| #14557787 | 2 |
| #14557763 | 2 |
| #14557532 | 2 |
| C2×#106×C37 | 2 |
| #3060 | 37 |