Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 70 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. #16840640 | C2 | semidirect |
| 7. C22×C4×D61 | C4 | semidirect |
| 8. C2×C22⋊Dic61 | C4 | semidirect |
| 11. C2×C22⋊C4×C61 | C4 | semidirect |
| 78. C61 | #1819 | semidirect |
| 86. C2×C22⋊C4 | #6923 | semidirect |