Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
144 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #19098681 | C2 | semidirect |
| 3. #19098392 | C2 | semidirect |
| 4. #19098370 | C2 | semidirect |
| 5. #19098369 | C2 | semidirect |
| 6. #19098339 | C2 | semidirect |
| 7. #443×C79 | C2 | semidirect |
| 10. #14579107 | C4 | semidirect |
| 11. #14579105 | C4 | semidirect |
| 12. #14579104 | C4 | semidirect |
| 13. #14579102 | C4 | semidirect |
| 72. C79 | #2179 | semidirect |
| 75. #443 | D79 | semidirect |