Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 564 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 |
| 3. C4⋊Q8×D79 | C2 | semidirect |
| 5. #19098958 | C2 | semidirect |
| 6. #19098957 | C2 | semidirect |
| 7. #19098956 | C2 | semidirect |
| 8. #19098955 | C2 | semidirect |
| 9. #19098954 | C2 | semidirect |
| 10. #97×D79 | C2 | semidirect |
| 11. #497×C79 | C2 | semidirect |
| 15. C2×Dic316 | C22 | semidirect |
| 16. C2×#11929614 | C22 | semidirect |
| 17. C2×#11929614 | C22 | semidirect |
| 24. #14579161 | C22 | semidirect |
| 26. #14579159 | C22 | semidirect |
| 34. #14579072 | C22 | semidirect |
| 35. #14579071 | C22 | semidirect |
| 36. C2×Q16×C79 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #97×C79 | C22 | semidirect |
| 130. D79 | #497 | direct (N × H) |
| 132. C79 | C2×#497 | semidirect |
| 142. #497 | D79 | direct (N × H) |
| 151. C2×Q16 | C2×D79 | semidirect |
| 161. C4⋊Q8 | C2×D79 | semidirect |
| 172. #97 | C2×D79 | semidirect |