Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #19099191 | C2 | semidirect |
| 3. #19098930 | C2 | semidirect |
| 4. #19098924 | C2 | semidirect |
| 5. #19098919 | C2 | semidirect |
| 6. #19098912 | C2 | semidirect |
| 9. C2×#14579085 | C2 | semidirect |
| 10. #19098521 | C2 | semidirect |
| 11. #419×C79 | C2 | semidirect |
| 128. C79 | #3137 | semidirect |
| 135. #419 | D79 | semidirect |