Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14558083 | C2 | semidirect |
| 2. #14557929 | C2 | semidirect |
| 3. #14557909 | C2 | semidirect |
| 4. #14557881 | C2 | semidirect |
| 5. #14557879 | C2 | semidirect |
| 6. #14557784 | C2 | semidirect |
| 7. #14557643 | C2 | semidirect |
| 8. C4×#10596934 | C2 | semidirect |
| 9. C37×#532 | C2 | semidirect |
| 95. #64436 | #41 | semidirect |
| 122. #532 | D37 | semidirect |
| 130. C37 | #3184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| #14557929 | 2 |
| #14557909 | 2 |
| #14557881 | 2 |
| #14557879 | 2 |
| #14557784 | 2 |
| #14557643 | 2 |
| C4×#10596934 | 2 |
| C37×#532 | 2 |
| #3184 | 37 |