Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099263 | C2 | semidirect |
| 2. #19098965 | C2 | semidirect |
| 3. #19098885 | C2 | semidirect |
| 4. #19098875 | C2 | semidirect |
| 5. #19098863 | C2 | semidirect |
| 6. #19098813 | C2 | semidirect |
| 7. #19098642 | C2 | semidirect |
| 8. #19098604 | C2 | semidirect |
| 9. C4×D8×C79 | C2 | semidirect |
| 103. C79 | #3355 | semidirect |
| 110. C4×D8 | D79 | semidirect |