Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. C2×#14579126 | C2 | semidirect |
| 3. #19098876 | C2 | semidirect |
| 4. #19098857 | C2 | semidirect |
| 5. #19098762 | C2 | semidirect |
| 6. #19098704 | C2 | semidirect |
| 7. #19098701 | C2 | semidirect |
| 8. #19098662 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #480×C79 | C2 | semidirect |
| 111. Dic158 | #41 | semidirect |
| 141. C79 | #3112 | semidirect |
| 145. #480 | D79 | semidirect |