Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 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. #16840166 | C2 | semidirect |
| 3. #16839590 | C2 | semidirect |
| 4. #16839589 | C2 | semidirect |
| 5. #16839580 | C2 | semidirect |
| 23. D8×C61 | Q8 | semidirect |
| 71. C61 | #2226 | semidirect |
| 87. D8 | Dic122 | semidirect |