Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. C2×C8×Dic79 | C2 | semidirect |
| 5. #19098327 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #424×C79 | C2 | semidirect |
| 13. #14579084 | C4 | semidirect |
| 14. #14579081 | C4 | semidirect |
| 91. C79 | #1937 | semidirect |
| 92. #424 | D79 | semidirect |