Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
264 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
| 15. C22×C4×C61 | C8 | semidirect |
| 22. C22×Dic61 | C8 | semidirect |
| 100. C61 | #1280 | semidirect |
| 124. C22×C4 | #92420 | semidirect |