Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
264 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 264 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 |
|---|---|---|
| 7. C22⋊#92420 | C4 | semidirect |
| 12. C22⋊#92418 | C4 | semidirect |
| 14. C22⋊C8×C61 | C4 | semidirect |
| 20. C22×#6923 | C8 | semidirect |
| 92. C61 | #1280 | semidirect |
| 101. C22⋊C8 | #6923 | semidirect |