Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19098896 | C2 | semidirect |
| 3. #19098840 | C2 | semidirect |
| 4. #19098765 | C2 | semidirect |
| 6. #19098661 | C2 | semidirect |
| 7. #19098620 | C2 | semidirect |
| 8. #533×C79 | C2 | semidirect |
| 18. #14579094 | C22 | semidirect |
| 19. C4⋊(C79⋊C8) | C22 | semidirect |
| 20. #14579085 | C22 | semidirect |
| 23. #14579072 | C22 | semidirect |
| 24. C4⋊Q8×C79 | C22 | semidirect |
| 25. C4⋊Q8×C79 | C22 | semidirect |
| 30. C4×Q8×C79 | C22 | semidirect |
| 113. C79 | #3110 | semidirect |
| 114. #533 | D79 | semidirect |
| 125. C4⋊Q8 | C2×D79 | semidirect |
| 126. C4⋊Q8 | C2×D79 | semidirect |
| 131. C4×Q8 | C2×D79 | semidirect |