Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
230 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 29. #11929608 | Q8 | semidirect |
| 41. C4×Dic79 | Q8 | semidirect |
| 45. M16×C79 | Q8 | semidirect |
| 96. C79 | #2061 | semidirect |
| 129. M16 | Dic158 | semidirect |