Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
116 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 4. C2×Dic148 | C4 | semidirect |
| 7. #11924470 | C4 | semidirect |
| 58. C37 | #1348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557774 | 2 |
| C22⋊#10596925 | 2 |
| C37×#340 | 2 |
| #1348 | 37 |