Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14558258 | C2 | semidirect |
| 4. #14557885 | C2 | semidirect |
| 5. #14557839 | C2 | semidirect |
| 7. #14557744 | C2 | semidirect |
| 8. #14557657 | C2 | semidirect |
| 9. #14557627 | C2 | semidirect |
| 127. C37 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558258 | 2 |
| #14558253 | 2 |
| #14557886 | 2 |
| #14557885 | 2 |
| #14557839 | 2 |
| #14557754 | 2 |
| #14557744 | 2 |
| #14557657 | 2 |
| #14557627 | 2 |
| C4×#10596940 | 2 |
| C37×#474 | 2 |
| #3364 | 37 |