Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1046 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 1046 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×#16839913 | C2 | semidirect |
| 2. #21451752 | C2 | semidirect |
| 3. C2×#16839500 | C2 | semidirect |
| 4. C2×#16839496 | C2 | semidirect |
| 5. #21444060 | C2 | semidirect |
| 6. #21443661 | C2 | semidirect |
| 309. C61 | #9963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839913 | 2 |
| #21451752 | 2 |
| C2×#16839500 | 2 |
| C2×#16839496 | 2 |
| #21444060 | 2 |
| #21443661 | 2 |
| C2×C61×#447 | 2 |
| #9963 | 61 |