Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19099120 | C2 | semidirect |
| 2. #19098893 | C2 | semidirect |
| 3. #19098853 | C2 | semidirect |
| 4. #19098768 | C2 | semidirect |
| 6. C4×#11929612 | C2 | semidirect |
| 7. #19098616 | C2 | semidirect |
| 10. #14579161 | C22 | semidirect |
| 11. #14579161 | C22 | semidirect |
| 16. C4×Dic158 | C22 | semidirect |
| 18. #14579092 | C22 | semidirect |
| 19. C4⋊(C79⋊C8) | C22 | semidirect |
| 20. #14579084 | C22 | semidirect |
| 23. C4×C79⋊C8 | C22 | semidirect |
| 78. C2×C4×C79 | SD16 | semidirect |
| 113. C79 | #3101 | semidirect |
| 195. C2×C4 | #11929612 | semidirect |