Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
234 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. C2×#14519688 | C2 | semidirect |
| 3. #16839503 | C2 | semidirect |
| 4. #16839501 | C2 | semidirect |
| 5. C4×M16×C61 | C2 | semidirect |
| 93. C4×M16 | D61 | semidirect |
| 97. C61 | #1524 | semidirect |