Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×D244 | C2 | semidirect |
| 2. #16840121 | C2 | semidirect |
| 3. #16840112 | C2 | semidirect |
| 4. #16840057 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 7. #16839964 | C2 | semidirect |
| 8. #16839893 | C2 | semidirect |
| 9. #16839860 | C2 | semidirect |
| 11. C61×#556 | C2 | semidirect |
| 123. #556 | D61 | semidirect |
| 134. C61 | #3367 | semidirect |