Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 1. #19098605 | C2 | semidirect |
| 5. #19098518 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. #341×C79 | C2 | semidirect |
| 18. #14579077 | C4 | semidirect |
| 101. C79 | #1931 | semidirect |
| 108. #341 | D79 | semidirect |