Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 77 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×#14579096 | C2 | semidirect |
| 5. #19098322 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. #405×C79 | C2 | semidirect |
| 14. #14579084 | C4 | semidirect |
| 15. #14579084 | C4 | semidirect |
| 16. #14579081 | C4 | semidirect |
| 17. #14579081 | C4 | semidirect |
| 106. C79 | #1929 | semidirect |
| 111. #405 | D79 | semidirect |