Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929611 | C2 | semidirect |
| 3. C2×#14579150 | C2 | semidirect |
| 4. C2×#14579123 | C2 | semidirect |
| 5. #19098781 | C2 | direct (N × H) |
| 6. C2×Dic79⋊C8 | C2 | semidirect |
| 7. C2×#14579081 | C2 | semidirect |
| 8. C2×#103×C79 | C2 | semidirect |
| 13. C2×#11929611 | C22 | semidirect |
| 18. #14579150 | C22 | semidirect |
| 20. #14579123 | C22 | semidirect |
| 25. Dic79⋊C8 | C22 | semidirect |
| 26. #14579081 | C22 | semidirect |
| 30. #103×C79 | C22 | semidirect |
| 117. C2×C79 | #463 | semidirect |
| 124. C79 | C2×#463 | semidirect |
| 131. C2×#103 | D79 | semidirect |
| 153. #103 | C2×D79 | semidirect |
| 243. C2 | #19098781 | direct (N × H) |