Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 2. C2×#14519775 | C2 | semidirect |
| 4. #16839965 | C2 | direct (N × H) |
| 5. C2×#14519706 | C2 | semidirect |
| 6. C2×#14519702 | C2 | semidirect |
| 7. C2×#14519701 | C2 | semidirect |
| 15. #14519775 | C22 | semidirect |
| 23. #14519706 | C22 | semidirect |
| 24. #14519702 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 88. C2×Dic61 | SD16 | semidirect |
| 111. Dic61 | C2×SD16 | semidirect |
| 114. C2×C61 | #461 | semidirect |
| 126. C61 | C2×#461 | semidirect |
| 231. C2 | #16839965 | direct (N × H) |