Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
220 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 64 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. #16840675 | C2 | semidirect |
| 12. C2×Dic244 | C4 | semidirect |
| 16. Q16×D61 | C4 | semidirect |
| 19. C2×Q16×C61 | C4 | semidirect |
| 87. C61 | #2141 | semidirect |
| 95. C2×Q16 | #6923 | semidirect |