Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099117 | C2 | semidirect |
| 3. #19098851 | C2 | semidirect |
| 4. #19098849 | C2 | semidirect |
| 5. #19098848 | C2 | semidirect |
| 6. #19098791 | C2 | semidirect |
| 7. #19098789 | C2 | semidirect |
| 8. #19098766 | C2 | semidirect |
| 9. #19098760 | C2 | semidirect |
| 10. C4⋊C8×D79 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 106. C4×D79 | SD16 | semidirect |
| 138. C79 | #3246 | semidirect |
| 148. #460 | D79 | semidirect |