Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 3. C2×#14519775 | C2 | semidirect |
| 5. #16839966 | C2 | direct (N × H) |
| 6. C2×#14519706 | C2 | semidirect |
| 7. C2×#14519700 | C2 | semidirect |
| 8. C2×#103×C61 | C2 | semidirect |
| 18. #14519775 | C22 | semidirect |
| 25. #14519706 | C22 | semidirect |
| 26. #14519700 | C22 | semidirect |
| 30. #103×C61 | C22 | semidirect |
| 84. C2×Dic61 | SD16 | semidirect |
| 111. Dic61 | C2×SD16 | semidirect |
| 113. C2×C61 | #461 | semidirect |
| 125. C2×#103 | D61 | semidirect |
| 126. C61 | C2×#461 | semidirect |
| 148. #103 | C2×D61 | semidirect |
| 231. C2 | #16839966 | direct (N × H) |