Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19099040 | C2 | semidirect |
| 4. #19098660 | C2 | semidirect |
| 5. #19098654 | C2 | semidirect |
| 6. #19098599 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 8. #19098521 | C2 | semidirect |
| 11. C2×#11929612 | C4 | semidirect |
| 16. #14579126 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579086 | C22 | semidirect |
| 26. #14579071 | C22 | semidirect |
| 27. C8×Dic79 | C22 | semidirect |
| 34. C2×Dic158 | C2×C4 | semidirect |
| 38. #11929612 | C2×C4 | semidirect |
| 39. #11929612 | C2×C4 | semidirect |
| 40. C2×C79⋊C8 | C2×C4 | semidirect |
| 104. C79 | #2949 | semidirect |