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×#14579191 | C2 | semidirect |
| 2. C2×#14579168 | C2 | semidirect |
| 3. #19099134 | C2 | semidirect |
| 4. #19098819 | C2 | semidirect |
| 5. #19098807 | C2 | semidirect |
| 6. #19098802 | C2 | semidirect |
| 7. #19098790 | C2 | semidirect |
| 8. #19098603 | C2 | semidirect |
| 9. #19098559 | C2 | semidirect |
| 10. C2×#14579084 | C2 | semidirect |
| 51. #11929608 | D4 | semidirect |
| 144. C79 | #3063 | semidirect |