Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
394 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099118 | C2 | semidirect |
| 3. #19098942 | C2 | semidirect |
| 4. #19098914 | C2 | semidirect |
| 5. #19098909 | C2 | semidirect |
| 6. #19098783 | C2 | semidirect |
| 7. #19098722 | C2 | semidirect |
| 8. #19098614 | C2 | semidirect |
| 9. #492×C79 | C2 | semidirect |
| 113. C79 | #3210 | semidirect |
| 117. #492 | D79 | semidirect |