Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×C4⋊#92418 | C2 | semidirect |
| 3. #16839628 | C2 | semidirect |
| 4. #16839524 | C2 | semidirect |
| 15. C4×D4×C61 | C4 | semidirect |
| 100. C61 | #1804 | semidirect |
| 105. C4×D4 | Dic61 | semidirect |