Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099293 | C2 | semidirect |
| 3. #19098924 | C2 | semidirect |
| 5. #19098842 | C2 | semidirect |
| 6. #19098788 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 9. #19098662 | C2 | semidirect |
| 10. C4×#11929614 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 119. C79 | #3375 | semidirect |
| 124. #477 | D79 | semidirect |