Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14579192 | C2 | semidirect |
| 2. C2×#14579168 | C2 | semidirect |
| 4. #19098819 | C2 | semidirect |
| 5. #19098811 | C2 | semidirect |
| 6. #19098802 | C2 | semidirect |
| 7. #19098794 | C2 | semidirect |
| 8. #19098606 | C2 | semidirect |
| 9. #19098557 | C2 | semidirect |
| 10. C2×#14579085 | C2 | semidirect |
| 11. #536×C79 | C2 | semidirect |
| 54. #11929608 | D4 | semidirect |
| 144. C79 | #3063 | semidirect |
| 148. #536 | D79 | semidirect |