Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
162 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 71 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. #16839893 | C2 | semidirect |
| 3. #16839515 | C2 | semidirect |
| 4. Q8⋊#92418 | C2 | semidirect |
| 6. #16839483 | C2 | semidirect |
| 55. C8×C61 | M16 | semidirect |
| 85. C61 | #1592 | semidirect |
| 138. C8 | #11758194 | semidirect |