Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
830 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 830 conjugacy classes of subgroups — too many to draw. Only its 113 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×#16839917 | C2 | semidirect |
| 3. C2×#16839499 | C2 | semidirect |
| 5. #21444089 | C2 | semidirect |
| 6. #21443662 | C2 | semidirect |
| 277. C61 | #9965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839917 | 2 |
| C2×#16839900 | 2 |
| C2×#16839499 | 2 |
| C2×#16839496 | 2 |
| #21444089 | 2 |
| #21443662 | 2 |
| C61×#2639 | 2 |
| #9965 | 61 |