Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
166 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 67 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. #16839892 | C2 | semidirect |
| 3. #16839512 | C2 | semidirect |
| 4. #16839492 | C2 | semidirect |
| 6. C8×#92418 | C2 | semidirect |
| 56. C8×C61 | SD16 | semidirect |
| 60. #92418 | M16 | semidirect |
| 85. C61 | #1590 | semidirect |
| 138. C8 | #11758200 | semidirect |