Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19099111 | C2 | semidirect |
| 2. #124×D79 | C2 | semidirect |
| 3. #19098950 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098780 | C2 | semidirect |
| 7. #19098776 | C2 | semidirect |
| 8. #19098700 | C2 | semidirect |
| 9. #19098695 | C2 | semidirect |
| 10. #19098618 | C2 | semidirect |
| 11. #496×C79 | C2 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 17. #14579161 | C22 | semidirect |
| 27. D4×Dic79 | C22 | semidirect |
| 31. Dic79⋊C8 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 37. #14579072 | C22 | semidirect |
| 38. C2×SD16×C79 | C22 | semidirect |
| 40. #127×C79 | C22 | semidirect |
| 42. #97×C79 | C22 | semidirect |
| 151. C79 | #3213 | semidirect |
| 155. #496 | D79 | semidirect |
| 167. C2×SD16 | C2×D79 | semidirect |
| 171. #127 | C2×D79 | semidirect |
| 193. #97 | C2×D79 | semidirect |