Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840390 | C2 | semidirect |
| 3. #16840068 | C2 | semidirect |
| 4. #16840065 | C2 | semidirect |
| 5. #16840051 | C2 | semidirect |
| 6. #16840046 | C2 | semidirect |
| 7. C2×#14519708 | C2 | semidirect |
| 8. #16839790 | C2 | semidirect |
| 11. C61×#428 | C2 | semidirect |
| 46. #11758222 | Q8 | semidirect |
| 130. #428 | D61 | semidirect |
| 135. C61 | #3084 | semidirect |