Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
336 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 46. #11929614 | Q8 | semidirect |
| 90. Dic158 | Q16 | semidirect |
| 112. C79 | Q8×Q16 | semidirect |