Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098905 | C2 | semidirect |
| 4. #19098905 | C2 | semidirect |
| 5. #19098899 | C2 | semidirect |
| 6. #19098894 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. #19098601 | C2 | semidirect |
| 9. #19098573 | C2 | semidirect |
| 10. C2×#14579086 | C2 | semidirect |
| 127. C79 | #3097 | semidirect |