Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
358 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 2. #14557931 | C2 | semidirect |
| 3. #14557913 | C2 | semidirect |
| 4. #14557884 | C2 | semidirect |
| 6. #14557641 | C2 | semidirect |
| 76. C37 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| #14557931 | 2 |
| #14557913 | 2 |
| #14557884 | 2 |
| #14557791 | 2 |
| #14557641 | 2 |
| C4×M16×C37 | 2 |
| #3185 | 37 |