Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 400 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. #19099118 | C2 | semidirect |
| 3. #19098955 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098787 | C2 | semidirect |
| 7. #19098783 | C2 | semidirect |
| 8. #19098717 | C2 | semidirect |
| 10. #19098618 | C2 | semidirect |
| 11. #497×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 25. Q8×Dic79 | C22 | semidirect |
| 31. Dic79⋊C8 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 37. #14579072 | C22 | semidirect |
| 38. C2×Q16×C79 | C22 | semidirect |
| 40. C4⋊Q8×C79 | C22 | semidirect |
| 42. #97×C79 | C22 | semidirect |
| 143. C79 | #3215 | semidirect |
| 147. #497 | D79 | semidirect |
| 158. C2×Q16 | C2×D79 | semidirect |
| 162. C4⋊Q8 | C2×D79 | semidirect |
| 185. #97 | C2×D79 | semidirect |