Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 2. #16840090 | C2 | semidirect |
| 3. #16840049 | C2 | semidirect |
| 4. #16839964 | C2 | semidirect |
| 6. C4×#11758201 | C2 | semidirect |
| 7. #16839815 | C2 | semidirect |
| 8. C61×#533 | C2 | semidirect |
| 18. #14519708 | C22 | semidirect |
| 19. C4⋊#92418 | C22 | semidirect |
| 20. #14519701 | C22 | semidirect |
| 23. C4×#92418 | C22 | semidirect |
| 24. C4⋊Q8×C61 | C22 | semidirect |
| 25. C4⋊Q8×C61 | C22 | semidirect |
| 30. C4×Q8×C61 | C22 | semidirect |
| 75. C2×C4×C61 | SD16 | semidirect |
| 113. #533 | D61 | semidirect |
| 121. C61 | #3101 | semidirect |
| 125. C4⋊Q8 | C2×D61 | semidirect |
| 126. C4⋊Q8 | C2×D61 | semidirect |
| 131. C4×Q8 | C2×D61 | semidirect |
| 195. C2×C4 | #11758201 | semidirect |