Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
592 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 145 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×Q16×D79 | C2 | semidirect |
| 2. C2×SD16×D79 | C2 | semidirect |
| 4. #124×D79 | C2 | semidirect |
| 5. #19098948 | C2 | semidirect |
| 6. #19098947 | C2 | semidirect |
| 7. #19098946 | C2 | semidirect |
| 8. #19098945 | C2 | semidirect |
| 9. #19098944 | C2 | semidirect |
| 10. C4×C8×D79 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 15. C2×#11929614 | C22 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 18. C2×#11929612 | C22 | semidirect |
| 19. C2×#11929611 | C22 | semidirect |
| 26. #14579150 | C22 | semidirect |
| 27. #14579149 | C22 | semidirect |
| 28. #14579148 | C22 | semidirect |
| 32. C4×C79⋊C8 | C22 | semidirect |
| 33. C8×Dic79 | C22 | semidirect |
| 34. C8×Dic79 | C22 | semidirect |
| 35. C2×Q16×C79 | C22 | semidirect |
| 36. C2×SD16×C79 | C22 | semidirect |
| 38. #124×C79 | C22 | semidirect |
| 39. C4×C8×C79 | C22 | semidirect |
| 125. D79 | #495 | direct (N × H) |
| 127. C79 | C2×#495 | semidirect |
| 137. #495 | D79 | direct (N × H) |
| 144. C2×Q16 | C2×D79 | semidirect |
| 149. C2×SD16 | C2×D79 | semidirect |
| 160. #124 | C2×D79 | semidirect |
| 166. C4×C8 | C2×D79 | semidirect |