Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
480 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924536 | C2 | semidirect |
| 4. #14557744 | C2 | semidirect |
| 5. #14557739 | C2 | semidirect |
| 6. #14557543 | C2 | semidirect |
| 7. C37×#423 | C2 | semidirect |
| 87. C4×C37 | #137 | semidirect |
| 103. #423 | D37 | semidirect |
| 105. C37 | #3039 | semidirect |
| 188. C4 | #11924569 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C2×#11924536 | 2 |
| C4×#10596962 | 2 |
| #14557744 | 2 |
| #14557739 | 2 |
| #14557543 | 2 |
| C37×#423 | 2 |
| #3039 | 37 |