Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 133 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×#11924527 | C2 | semidirect |
| 3. #14557843 | C2 | semidirect |
| 4. #14557839 | C2 | semidirect |
| 5. #14557836 | C2 | semidirect |
| 6. #14557832 | C2 | semidirect |
| 7. #14557576 | C2 | semidirect |
| 8. #14557556 | C2 | semidirect |
| 11. C37×#428 | C2 | semidirect |
| 143. #428 | D37 | semidirect |
| 147. C37 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924527 | 2 |
| #14558001 | 2 |
| #14557843 | 2 |
| #14557839 | 2 |
| #14557836 | 2 |
| #14557832 | 2 |
| #14557576 | 2 |
| #14557556 | 2 |
| #14557535 | 2 |
| #14557532 | 2 |
| C37×#428 | 2 |
| #3080 | 37 |