Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579192 | C2 | semidirect |
| 3. C4×#11929624 | C2 | semidirect |
| 4. #19098782 | C2 | semidirect |
| 5. #19098775 | C2 | semidirect |
| 6. #19098587 | C2 | semidirect |
| 7. #19098572 | C2 | semidirect |
| 8. #19098568 | C2 | semidirect |
| 9. C2×#124×C79 | C2 | semidirect |
| 13. C2×#11929614 | C22 | semidirect |
| 15. C2×#11929611 | C22 | semidirect |
| 19. C4×Dic158 | C22 | semidirect |
| 20. C4×D316 | C22 | semidirect |
| 25. C4⋊(C79⋊C8) | C22 | semidirect |
| 26. #14579085 | C22 | semidirect |
| 126. C79 | #3040 | semidirect |
| 129. C2×#124 | D79 | semidirect |