Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 418 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. #19099298 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098949 | C2 | semidirect |
| 4. #19098940 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098757 | C2 | semidirect |
| 9. #19098693 | C2 | semidirect |
| 10. #19098674 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 107. C8×C79 | #41 | semidirect |
| 135. C79 | #3399 | semidirect |
| 146. C4×SD16 | D79 | semidirect |
| 243. C8 | #11929624 | semidirect |