Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 10. C4×Dic158 | C4 | semidirect |
| 46. C42×C79 | Q8 | semidirect |
| 88. C79 | #2295 | semidirect |
| 133. C42 | Dic158 | semidirect |