Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16840497 | C2 | semidirect |
| 2. #16840144 | C2 | semidirect |
| 3. #16840136 | C2 | semidirect |
| 4. #16839984 | C2 | semidirect |
| 5. #16839974 | C2 | semidirect |
| 6. #16839969 | C2 | semidirect |
| 8. Q8×#92418 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 10. C4×#11758200 | C2 | semidirect |
| 11. C61×#556 | C2 | semidirect |
| 127. #556 | D61 | semidirect |
| 137. C61 | #3394 | semidirect |