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. #21462715 | C2 | semidirect |
| 2. #21461103 | C2 | semidirect |
| 3. #21461088 | C2 | semidirect |
| 4. #21461080 | 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 |
|---|---|
| #21462715 | 2 |
| #21461103 | 2 |
| #21461088 | 2 |
| #21461080 | 2 |
| #21461070 | 2 |
| C2×#16840385 | 2 |
| #17409 | 61 |