Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 90 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. M16×#6923 | C2 | semidirect |
| 4. #16840641 | C2 | semidirect |
| 13. #14519837 | C4 | semidirect |
| 18. #14519694 | C4 | semidirect |
| 19. #14519693 | C4 | semidirect |
| 20. #100×C61 | C4 | semidirect |
| 35. #11758217 | C2×C4 | semidirect |
| 41. M16×C61 | C2×C4 | semidirect |
| 42. #11758194 | C2×C4 | semidirect |
| 86. #6923 | #100 | direct (N × H) |
| 102. C61 | C4×#100 | semidirect |
| 115. #100 | #6923 | direct (N × H) |
| 135. M16 | C2×#6923 | semidirect |