Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14557573 | C2 | semidirect |
| 5. #14557294 | C2 | semidirect |
| 6. #14557292 | C2 | semidirect |
| 7. C37×#428 | C2 | semidirect |
| 20. #11924452 | C4 | semidirect |
| 39. M16×C37 | C2×C4 | semidirect |
| 57. #10596934 | C2×C4 | semidirect |
| 117. #428 | D37 | semidirect |
| 122. C37 | #1856 | semidirect |
| 156. M16 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558007 | 2 |
| #14557573 | 2 |
| C2×#11924452 | 2 |
| #14557434 | 2 |
| #14557294 | 2 |
| #14557292 | 2 |
| C37×#428 | 2 |
| #1856 | 37 |