Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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. #19098863 | C2 | semidirect |
| 3. #19098855 | C2 | semidirect |
| 4. #19098850 | C2 | semidirect |
| 5. #19098797 | C2 | semidirect |
| 6. #19098790 | C2 | semidirect |
| 7. #19098778 | C2 | semidirect |
| 8. #19098760 | C2 | semidirect |
| 9. #19098755 | C2 | semidirect |
| 10. C2×C4⋊(C79⋊C8) | C2 | semidirect |
| 11. #532×C79 | C2 | semidirect |
| 142. C79 | #3247 | semidirect |
| 143. #532 | D79 | semidirect |