Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. C2×#14579120 | C2 | semidirect |
| 3. #19098905 | C2 | semidirect |
| 4. #19098899 | C2 | semidirect |
| 5. #19098894 | C2 | semidirect |
| 6. #19098888 | C2 | semidirect |
| 7. #19098882 | C2 | semidirect |
| 8. #19098877 | C2 | semidirect |
| 9. #19098601 | C2 | semidirect |
| 10. #19098560 | C2 | semidirect |
| 11. C2×C22⋊C8×C79 | C2 | semidirect |
| 30. #14579095 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579093 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 35. #14579086 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. #14579083 | C22 | semidirect |
| 144. C79 | #3091 | semidirect |
| 155. C2×C22⋊C8 | D79 | semidirect |