Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
580 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21443839 | C2 | semidirect |
| 5. C23×Dic122 | C4 | semidirect |
| 8. #16839682 | C4 | semidirect |
| 13. #16839622 | C4 | semidirect |
| 193. C61 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21449184 | 2 |
| #21444140 | 2 |
| #21443839 | 2 |
| C61×#1799 | 2 |
| #11898 | 61 |