Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 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. #19099286 | C2 | semidirect |
| 3. #19098968 | C2 | semidirect |
| 4. #19098897 | C2 | semidirect |
| 5. #19098885 | C2 | semidirect |
| 6. #19098848 | C2 | semidirect |
| 7. #19098843 | C2 | semidirect |
| 8. #19098806 | C2 | semidirect |
| 9. #19098642 | C2 | semidirect |
| 10. #19098602 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 98. C8×C79 | #41 | semidirect |
| 123. C79 | #3353 | semidirect |
| 132. C4×SD16 | D79 | semidirect |
| 222. C8 | #11929624 | semidirect |