Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1628 conjugacy classes of subgroups; only the 760 normal subgroups are shown.
This group has 1628 conjugacy classes of subgroups — too many to draw. Only its 760 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. #21462777 | C2 | semidirect |
| 2. #21462732 | C2 | semidirect |
| 3. #21462636 | C2 | semidirect |
| 4. #21462609 | C2 | semidirect |
| 114. C61 | #60332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462777 | 2 |
| #21462732 | 2 |
| #21462636 | 2 |
| #21462609 | 2 |
| #21459967 | 2 |
| #60332 | 61 |