Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579194 | C2 | semidirect |
| 3. C22×#11929614 | C2 | semidirect |
| 4. #19099137 | C2 | semidirect |
| 5. #19099134 | C2 | semidirect |
| 6. #19098956 | C2 | semidirect |
| 7. #19098954 | C2 | semidirect |
| 8. #19098944 | C2 | semidirect |
| 9. #19098941 | C2 | semidirect |
| 10. #19098521 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 144. C79 | #3156 | semidirect |
| 146. C2×#137 | D79 | semidirect |