Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. C2×#14519697 | C2 | semidirect |
| 3. C2×C22⋊#92418 | C2 | semidirect |
| 4. #16839524 | C2 | semidirect |
| 5. C22×C4⋊C4×C61 | C2 | semidirect |
| 10. #14519751 | C4 | semidirect |
| 39. C2×D244 | C2×C4 | semidirect |
| 42. C4⋊C4×C61 | D4 | semidirect |
| 45. C4⋊Dic61 | C2×C4 | semidirect |
| 90. C22×C61 | #102 | semidirect |
| 121. C22×C4⋊C4 | D61 | semidirect |
| 125. C61 | #1874 | semidirect |
| 167. C4⋊C4 | C22⋊D61 | semidirect |
| 217. C22 | #14519697 | semidirect |