Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 1. C2×#14579186 | C2 | semidirect |
| 2. C2×#14579186 | C2 | semidirect |
| 3. #19099330 | C2 | semidirect |
| 4. #19098831 | C2 | semidirect |
| 5. #19098828 | C2 | semidirect |
| 6. #19098611 | C2 | semidirect |
| 7. #19098547 | C2 | semidirect |
| 8. C2×#14579077 | C2 | semidirect |
| 9. #575×C79 | C2 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 18. C2×#11929609 | C22 | semidirect |
| 20. #14579168 | C22 | semidirect |
| 25. #14579096 | C22 | semidirect |
| 26. #14579080 | C22 | semidirect |
| 27. #14579078 | C22 | semidirect |
| 28. #14579077 | C22 | semidirect |
| 32. #137×C79 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C79 | C22 | semidirect |
| 148. C79 | #3068 | semidirect |
| 149. #575 | D79 | semidirect |
| 162. #137 | C2×D79 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D79 | semidirect |