Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579181 | C2 | semidirect |
| 2. #19099130 | C2 | semidirect |
| 3. #19099046 | C2 | semidirect |
| 4. #19098783 | C2 | semidirect |
| 5. #19098776 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098756 | C2 | semidirect |
| 8. #19098591 | C2 | semidirect |
| 9. #19098565 | C2 | semidirect |
| 10. C2×#14579082 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 24. Q8×Dic79 | C22 | semidirect |
| 26. D4×Dic79 | C22 | semidirect |
| 31. Dic79⋊C8 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 73. #41×C79 | D4 | semidirect |
| 155. C79 | #3045 | semidirect |
| 156. C2×AGL(1,ℤ/8) | D79 | semidirect |
| 202. #41 | C22⋊D79 | semidirect |