Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
312 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. #16839815 | C2 | semidirect |
| 2. #16839815 | C2 | semidirect |
| 3. D4⋊#92418 | C2 | semidirect |
| 6. C4⋊#92418 | C22 | semidirect |
| 10. C4×#92418 | C22 | semidirect |
| 23. C2×D4×C61 | C8 | semidirect |
| 92. C61 | #1478 | semidirect |
| 111. C2×D4 | #92418 | semidirect |