Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×C4×D316 | C2 | semidirect |
| 2. #19098891 | C2 | semidirect |
| 3. #19098874 | C2 | semidirect |
| 4. #19098860 | C2 | semidirect |
| 5. #19098775 | C2 | semidirect |
| 6. #19098713 | C2 | semidirect |
| 8. #19098673 | C2 | semidirect |
| 9. #19098661 | C2 | semidirect |
| 10. #19098620 | C2 | semidirect |
| 11. #529×C79 | C2 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579092 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579085 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 31. #14579072 | C22 | semidirect |
| 33. #125×C79 | C22 | semidirect |
| 34. #124×C79 | C22 | semidirect |
| 38. C4×Q8×C79 | C22 | semidirect |
| 40. C4×D4×C79 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |
| 142. #529 | D79 | semidirect |
| 158. #125 | C2×D79 | semidirect |
| 159. #124 | C2×D79 | semidirect |
| 163. C4×Q8 | C2×D79 | semidirect |
| 169. C4×D4 | C2×D79 | semidirect |