Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
228 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 5. C22×#92420 | C4 | semidirect |
| 9. C22⋊#92420 | C4 | semidirect |
| 30. C22⋊C4×C61 | C8 | semidirect |
| 32. C22⋊Dic61 | C8 | semidirect |
| 97. C61 | #1282 | semidirect |
| 126. C22⋊C4 | #92420 | semidirect |