Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 9. #14579160 | C4 | semidirect |
| 10. #14579160 | C4 | semidirect |
| 11. #14579152 | C4 | semidirect |
| 12. #14579152 | C4 | semidirect |
| 33. #11929608 | Q8 | semidirect |
| 55. M16×C79 | Q8 | semidirect |
| 115. C79 | #1986 | semidirect |
| 152. M16 | Dic158 | semidirect |