Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
656 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 656 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×#14579188 | C2 | semidirect |
| 2. #19099114 | C2 | semidirect |
| 3. #127×D79 | C2 | semidirect |
| 4. #19098949 | C2 | semidirect |
| 5. #19098940 | C2 | semidirect |
| 6. #19098939 | C2 | semidirect |
| 7. #19098937 | C2 | semidirect |
| 8. C4×#11929607 | C2 | semidirect |
| 9. #492×C79 | C2 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 15. C2×D632 | C22 | semidirect |
| 16. C2×#11929609 | C22 | semidirect |
| 19. #14579158 | C22 | semidirect |
| 22. #14579150 | C22 | semidirect |
| 26. #14579071 | C22 | semidirect |
| 27. C4×C79⋊C8 | C22 | semidirect |
| 28. C2×SD16×C79 | C22 | semidirect |
| 29. C4⋊Q8×C79 | C22 | semidirect |
| 31. C4×C8×C79 | C22 | semidirect |
| 49. #11929607 | D4 | semidirect |
| 85. C8×C79 | C2×D4 | semidirect |
| 86. C79⋊C8 | C2×D4 | semidirect |
| 98. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 109. C79 | #3151 | semidirect |
| 117. #492 | D79 | semidirect |
| 124. C2×SD16 | C2×D79 | semidirect |
| 128. C4⋊Q8 | C2×D79 | semidirect |
| 140. C4×C8 | C2×D79 | semidirect |
| 195. C8 | D4×D79 | semidirect |
| 209. C4 | #14579188 | semidirect |