Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
160 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 3. #14558424 | C2 | semidirect |
| 4. #14558423 | C2 | semidirect |
| 8. #11924611 | C4 | semidirect |
| 11. C2×#10596927 | C4 | semidirect |
| 15. #11924476 | C4 | semidirect |
| 17. C16×D37 | C4 | semidirect |
| 18. M32×C37 | C4 | semidirect |
| 68. C37 | #2110 | semidirect |
| 77. M32 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924611 | 2 |
| #14558496 | 2 |
| #14558424 | 2 |
| #14558423 | 2 |
| M32×D37 | 2 |
| #2110 | 37 |