Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 74 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. #16840767 | C2 | semidirect |
| 2. C2×#14519842 | C2 | semidirect |
| 3. C2×#14519841 | C2 | semidirect |
| 4. C42×#6923 | C2 | semidirect |
| 14. #14519775 | C4 | semidirect |
| 15. #14519773 | C4 | semidirect |
| 16. #14519765 | C4 | semidirect |
| 20. #124×C61 | C4 | semidirect |
| 40. C4×#6923 | D4 | semidirect |
| 87. Dic61 | #104 | semidirect |
| 101. C61 | #1962 | semidirect |
| 108. #124 | #6923 | semidirect |