Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
204 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 57 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. #16839810 | C2 | semidirect |
| 5. #16839532 | C2 | semidirect |
| 6. #16839532 | C2 | semidirect |
| 7. C61×H(3,ℤ/4) | C2 | semidirect |
| 92. H(3,ℤ/4) | D61 | semidirect |
| 93. C61 | #2081 | semidirect |