Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
340 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 133 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. Q8×Dic122 | C2 | semidirect |
| 2. #16840172 | C2 | semidirect |
| 3. #16840165 | C2 | semidirect |
| 4. #16840066 | C2 | semidirect |
| 5. #16840054 | C2 | semidirect |
| 8. #16839893 | C2 | semidirect |
| 60. #11758200 | Q8 | semidirect |
| 127. C61 | #3385 | semidirect |