Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
464 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 189 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×#14579167 | C2 | semidirect |
| 3. #19098686 | C2 | direct (N × H) |
| 4. C2×#14579097 | C2 | semidirect |
| 5. C2×#14579089 | C2 | semidirect |
| 6. C2×#97×C79 | C2 | semidirect |
| 8. #14579183 | C4 | semidirect |
| 10. C2×Dic316 | C4 | semidirect |
| 11. C2×#11929613 | C4 | semidirect |
| 12. C2×D632 | C4 | semidirect |
| 14. #14579167 | C22 | semidirect |
| 18. #14579097 | C22 | semidirect |
| 19. #14579089 | C22 | semidirect |
| 23. #97×C79 | C22 | semidirect |
| 32. Dic316 | C2×C4 | semidirect |
| 33. #11929613 | C2×C4 | semidirect |
| 34. D632 | C2×C4 | semidirect |
| 88. C2×C79 | #444 | semidirect |
| 92. C79 | C2×#444 | semidirect |
| 98. C2×#97 | D79 | semidirect |
| 115. #97 | C2×D79 | semidirect |
| 181. C2 | #19098686 | direct (N × H) |