Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14558088 | C2 | semidirect |
| 3. #14557877 | C2 | semidirect |
| 4. #14557825 | C2 | semidirect |
| 5. #14557744 | C2 | semidirect |
| 6. #14557738 | C2 | semidirect |
| 8. #14557639 | C2 | semidirect |
| 9. #14557630 | C2 | semidirect |
| 10. #14557589 | C2 | semidirect |
| 11. C37×#476 | C2 | semidirect |
| 141. #476 | D37 | semidirect |
| 148. C37 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558088 | 2 |
| C4×#10596964 | 2 |
| #14557877 | 2 |
| #14557825 | 2 |
| #14557744 | 2 |
| #14557738 | 2 |
| #14557696 | 2 |
| #14557639 | 2 |
| #14557630 | 2 |
| #14557589 | 2 |
| C37×#476 | 2 |
| #3116 | 37 |