Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14519712 | C2 | semidirect |
| 3. #16839772 | C2 | semidirect |
| 5. C2×#14519695 | C2 | semidirect |
| 6. #16839720 | C2 | semidirect |
| 12. C2×#11758200 | C4 | semidirect |
| 114. C61 | #1977 | semidirect |