Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
432 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 84 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×#16840659 | C2 | semidirect |
| 2. C2×#16840631 | C2 | semidirect |
| 3. #21460795 | C2 | semidirect |
| 4. #21460793 | C2 | semidirect |
| 213. C61 | #11688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840659 | 2 |
| C2×#16840631 | 2 |
| #21460795 | 2 |
| #21460793 | 2 |
| #21455424 | 2 |
| #11688 | 61 |