Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840497 | C2 | semidirect |
| 2. D4×Dic122 | C2 | semidirect |
| 3. #16840123 | C2 | semidirect |
| 4. #16840109 | C2 | semidirect |
| 5. #16840051 | C2 | semidirect |
| 6. #16840047 | C2 | semidirect |
| 7. #16839979 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 10. #16839871 | C2 | semidirect |
| 11. C4×SD16×C61 | C2 | semidirect |
| 135. C4×SD16 | D61 | semidirect |
| 136. C61 | #3373 | semidirect |