Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 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. #16840161 | C2 | semidirect |
| 3. #16840116 | C2 | semidirect |
| 4. #16840095 | C2 | semidirect |
| 5. #16840090 | C2 | semidirect |
| 8. #16840069 | C2 | semidirect |
| 9. #16840062 | C2 | semidirect |
| 10. #16839815 | C2 | semidirect |
| 137. C61 | #3232 | semidirect |