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. #19099097 | C2 | semidirect |
| 2. C2×C4×D316 | C2 | semidirect |
| 3. #19098894 | C2 | semidirect |
| 4. #19098877 | C2 | semidirect |
| 5. #19098864 | C2 | semidirect |
| 6. #19098779 | C2 | semidirect |
| 7. #19098716 | C2 | semidirect |
| 9. #19098676 | C2 | semidirect |
| 10. #19098665 | C2 | semidirect |
| 11. #432×C79 | C2 | semidirect |
| 17. #14579153 | C22 | semidirect |
| 18. #14579149 | C22 | semidirect |
| 22. C4×Dic158 | C22 | semidirect |
| 27. C4×D316 | C22 | semidirect |
| 32. #14579095 | C22 | semidirect |
| 33. #14579093 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 37. #14579083 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 42. #97×C79 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |
| 152. #432 | D79 | semidirect |
| 176. C4⋊C8 | C2×D79 | semidirect |
| 183. #97 | C2×D79 | semidirect |