Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 3. #19098907 | C2 | semidirect |
| 4. #19098906 | C2 | semidirect |
| 5. #19098900 | C2 | semidirect |
| 6. #19098895 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. #19098571 | C2 | semidirect |
| 9. C2×#14579086 | C2 | semidirect |
| 11. #427×C79 | C2 | semidirect |
| 127. C79 | #3097 | semidirect |
| 135. #427 | D79 | semidirect |