Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924536 | C2 | semidirect |
| 3. #14557893 | C2 | semidirect |
| 4. #14557884 | C2 | semidirect |
| 5. #14557880 | C2 | semidirect |
| 6. #14557535 | C2 | semidirect |
| 7. C4×M16×C37 | C2 | semidirect |
| 107. C4×M16 | D37 | semidirect |
| 108. C37 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| C2×#11924536 | 2 |
| #14557893 | 2 |
| #14557884 | 2 |
| #14557880 | 2 |
| #14557535 | 2 |
| C4×M16×C37 | 2 |
| #3141 | 37 |