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×#14579169 | C2 | semidirect |
| 3. #19099137 | C2 | semidirect |
| 4. #19098818 | C2 | semidirect |
| 5. #19098806 | C2 | semidirect |
| 6. #19098801 | C2 | semidirect |
| 7. #19098789 | C2 | semidirect |
| 8. #19098605 | C2 | semidirect |
| 9. #19098559 | C2 | semidirect |
| 10. C2×#14579085 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 83. M16×C79 | D4 | semidirect |
| 144. C79 | #3063 | semidirect |
| 145. C2×#137 | D79 | semidirect |
| 210. M16 | C22⋊D79 | semidirect |