Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14519807 | C2 | semidirect |
| 2. C2×#14519764 | C2 | semidirect |
| 3. #41×Dic61 | C2 | semidirect |
| 4. #16839982 | C2 | semidirect |
| 5. #16839975 | C2 | semidirect |
| 6. #16839785 | C2 | semidirect |
| 7. #16839772 | C2 | semidirect |
| 8. #16839767 | C2 | semidirect |
| 12. C2×#11758202 | C22 | semidirect |
| 13. C2×#11758200 | C22 | semidirect |
| 18. Q8×Dic61 | C22 | semidirect |
| 20. D4×Dic61 | C22 | semidirect |
| 26. #14519706 | C22 | semidirect |
| 27. #14519702 | C22 | semidirect |
| 135. C61 | #3040 | semidirect |