Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
220 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 62 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. D61⋊M32 | C2 | semidirect |
| 2. C2×#14519848 | C2 | semidirect |
| 3. #16840677 | C2 | semidirect |
| 4. #16840676 | C2 | semidirect |
| 9. D61⋊C16 | C22 | semidirect |
| 11. #14519848 | C22 | semidirect |
| 107. C61 | #2143 | semidirect |