Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #19099191 | C2 | semidirect |
| 5. #19098331 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. #339×C79 | C2 | semidirect |
| 32. C2×D316 | Q8 | semidirect |
| 113. C79 | #2027 | semidirect |
| 120. #339 | D79 | semidirect |