Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099097 | C2 | semidirect |
| 2. #19098965 | C2 | semidirect |
| 3. #19098947 | C2 | semidirect |
| 4. #19098918 | C2 | semidirect |
| 5. #19098821 | C2 | semidirect |
| 7. #19098809 | C2 | semidirect |
| 8. #19098676 | C2 | semidirect |
| 9. #19098671 | C2 | semidirect |
| 10. #19098665 | C2 | semidirect |
| 11. C4×M16×C79 | C2 | semidirect |
| 110. C79 | #3183 | semidirect |
| 121. C4×M16 | D79 | semidirect |