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×#14519799 | C2 | semidirect |
| 2. C22×#11758189 | C2 | semidirect |
| 3. #16840274 | C2 | semidirect |
| 4. #16840021 | C2 | semidirect |
| 5. #16840016 | C2 | semidirect |
| 6. #16840009 | C2 | semidirect |
| 7. #16839756 | C2 | semidirect |
| 8. C61×#427 | C2 | semidirect |
| 12. C2×Dic244 | C22 | semidirect |
| 13. C2×#11758190 | C22 | semidirect |
| 14. C2×D488 | C22 | semidirect |
| 24. #14519700 | C22 | semidirect |
| 25. #14519697 | C22 | semidirect |
| 28. #107×C61 | C22 | semidirect |
| 29. #106×C61 | C22 | semidirect |
| 44. C2×C8×C61 | D4 | semidirect |
| 112. #427 | D61 | semidirect |
| 114. C61 | #3054 | semidirect |
| 132. #107 | C2×D61 | semidirect |
| 133. #106 | C2×D61 | semidirect |
| 157. C2×C8 | D244 | semidirect |