Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19099363 | C2 | semidirect |
| 2. C2×#14579187 | C2 | semidirect |
| 3. C2×#14579187 | C2 | semidirect |
| 4. #19099329 | C2 | semidirect |
| 5. #19098832 | C2 | semidirect |
| 6. #19098825 | C2 | semidirect |
| 7. #19098611 | C2 | semidirect |
| 8. #19098545 | C2 | semidirect |
| 9. C2×#100×C79 | C2 | semidirect |
| 13. #14579194 | C22 | semidirect |
| 15. #14579189 | C22 | semidirect |
| 22. C2×#11929612 | C22 | semidirect |
| 24. C2×#11929609 | C22 | semidirect |
| 25. #14579169 | C22 | semidirect |
| 30. #14579096 | C22 | semidirect |
| 31. #14579079 | C22 | semidirect |
| 32. #14579077 | C22 | semidirect |
| 36. #100×C79 | C22 | semidirect |
| 148. C79 | #3068 | semidirect |
| 157. C2×#100 | D79 | semidirect |
| 184. #100 | C2×D79 | semidirect |