Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14579192 | C2 | semidirect |
| 3. #19099330 | C2 | semidirect |
| 4. #19098836 | C2 | semidirect |
| 5. #19098828 | C2 | semidirect |
| 6. #19098611 | C2 | semidirect |
| 7. #19098545 | C2 | semidirect |
| 8. C2×#14579080 | C2 | semidirect |
| 9. C2×#137×C79 | C2 | semidirect |
| 18. C2×#11929614 | C22 | semidirect |
| 19. C2×#11929611 | C22 | semidirect |
| 26. #14579096 | C22 | semidirect |
| 27. #14579080 | C22 | semidirect |
| 28. #14579079 | C22 | semidirect |
| 29. #14579077 | C22 | semidirect |
| 143. C79 | #3069 | semidirect |
| 146. C2×#137 | D79 | semidirect |