Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
756 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16840842 | C2 | semidirect |
| 2. #16840748 | C2 | semidirect |
| 3. D61⋊#100 | C2 | semidirect |
| 6. D61⋊M16 | C22 | semidirect |
| 7. #14519838 | C22 | semidirect |
| 8. #14519837 | C22 | semidirect |
| 82. C61 | #2888 | semidirect |