Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
912 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 208 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. #21462718 | C2 | semidirect |
| 2. #21461100 | C2 | semidirect |
| 3. #21461089 | C2 | semidirect |
| 4. #21461079 | C2 | semidirect |
| 5. #21461070 | C2 | semidirect |
| 199. C61 | #17409 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462718 | 2 |
| #21461100 | 2 |
| #21461089 | 2 |
| #21461079 | 2 |
| #21461070 | 2 |
| C2×#16840379 | 2 |
| #17409 | 61 |