Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
336 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 28. Dic244 | Q8 | direct (N × H) |
| 29. Q8×C61 | Q16 | semidirect |
| 56. C61 | Q8×Q16 | semidirect |
| 83. Q8 | Dic244 | direct (N × H) |