Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
546 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 546 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×#14579185 | C2 | semidirect |
| 2. #19099217 | C2 | semidirect |
| 3. #19099198 | C2 | semidirect |
| 4. #19098935 | C2 | semidirect |
| 5. #19098808 | C2 | semidirect |
| 6. #19098769 | C2 | semidirect |
| 7. #19098715 | C2 | semidirect |
| 8. #19098705 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. #19098640 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 12. C2×#11929623 | C22 | semidirect |
| 17. C2×#11929612 | C22 | semidirect |
| 18. C2×#11929612 | C22 | semidirect |
| 20. C2×#11929607 | C22 | semidirect |
| 21. #14579161 | C22 | semidirect |
| 23. #14579141 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 33. #14579082 | C22 | semidirect |
| 35. (C2×D79)⋊C8 | C22 | semidirect |
| 36. C4×C79⋊C8 | C22 | semidirect |
| 37. C2×D8×C79 | C22 | semidirect |
| 39. C4×D4×C79 | C22 | semidirect |
| 40. C4⋊C8×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 60. #11929609 | D4 | semidirect |
| 95. D4×C79 | C2×D4 | semidirect |
| 118. C79⋊C8 | C2×D4 | semidirect |
| 135. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 149. C79 | #3272 | semidirect |
| 156. #459 | D79 | semidirect |
| 169. C2×D8 | C2×D79 | semidirect |
| 181. C4×D4 | C2×D79 | semidirect |
| 184. C4⋊C8 | C2×D79 | semidirect |
| 188. #102 | C2×D79 | semidirect |
| 252. D4 | D4×D79 | semidirect |
| 287. C4 | #14579185 | semidirect |