Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
388 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #21444582 | C2 | semidirect |
| 3. #21443730 | C2 | semidirect |
| 112. C61 | #8632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21444582 | 2 |
| #21444454 | 2 |
| #21443730 | 2 |
| C61×#2931 | 2 |
| #8632 | 61 |