Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
430 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 116 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. C2×#16840684 | C2 | semidirect |
| 2. C2×#16840661 | C2 | semidirect |
| 3. #21462051 | C2 | semidirect |
| 4. C2×#16840651 | C2 | semidirect |
| 147. C61 | #13196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840684 | 2 |
| C2×#16840661 | 2 |
| #21462051 | 2 |
| C2×#16840651 | 2 |
| C2×#16839878 | 2 |
| #13196 | 61 |