Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#14519769 | C2 | semidirect |
| 2. #16840168 | C2 | semidirect |
| 3. #16840126 | C2 | semidirect |
| 4. #16840078 | C2 | semidirect |
| 5. #16840073 | C2 | semidirect |
| 6. #16840062 | C2 | semidirect |
| 7. #16839819 | C2 | semidirect |
| 115. C61 | #3234 | semidirect |