Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
292 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 11. #11924535 | C4 | semidirect |
| 38. C4⋊C4×C37 | Q8 | semidirect |
| 42. C4⋊Dic37 | Q8 | semidirect |
| 110. C37 | #1988 | semidirect |
| 148. C4⋊C4 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924535 | 2 |
| C2×#11924465 | 2 |
| C4⋊C4×Dic37 | 2 |
| #14557296 | 2 |
| #14557295 | 2 |
| C37×#340 | 2 |
| #1988 | 37 |