Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#14579187 | C2 | semidirect |
| 2. #19099130 | C2 | semidirect |
| 3. #19099038 | C2 | semidirect |
| 4. #19098776 | C2 | semidirect |
| 5. #19098756 | C2 | semidirect |
| 6. #19098589 | C2 | semidirect |
| 7. #19098568 | C2 | semidirect |
| 8. #19098560 | C2 | semidirect |
| 9. C22×D8×C79 | C2 | semidirect |
| 12. C2×#11929612 | C22 | semidirect |
| 13. C2×#11929609 | C22 | semidirect |
| 15. #14579157 | C22 | semidirect |
| 16. #14579148 | C22 | semidirect |
| 20. D4×Dic79 | C22 | semidirect |
| 24. Dic79⋊C8 | C22 | semidirect |
| 25. #14579086 | C22 | semidirect |
| 26. #14579083 | C22 | semidirect |
| 27. #14579082 | C22 | semidirect |
| 60. C2×D4×C79 | D4 | semidirect |
| 122. C79 | #3041 | semidirect |
| 124. C22×D8 | D79 | semidirect |
| 168. C2×D4 | C22⋊D79 | semidirect |