Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
620 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 133 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×D8×D79 | C2 | semidirect |
| 2. #19099198 | C2 | semidirect |
| 3. #19098796 | C2 | semidirect |
| 4. #19098755 | C2 | semidirect |
| 5. #19098695 | C2 | semidirect |
| 6. C4×D632 | C2 | semidirect |
| 7. C8×D316 | C2 | semidirect |
| 8. #493×C79 | C2 | semidirect |
| 10. C2×D4×D79 | C22 | semidirect |
| 12. C2×#11929609 | C22 | semidirect |
| 14. C2×C8×D79 | C22 | semidirect |
| 16. #14579132 | C22 | semidirect |
| 19. C4×D316 | C22 | semidirect |
| 20. #14579095 | C22 | semidirect |
| 21. C4⋊(C79⋊C8) | C22 | semidirect |
| 22. #14579083 | C22 | semidirect |
| 23. #14579082 | C22 | semidirect |
| 24. (C2×D79)⋊C8 | C22 | semidirect |
| 25. C2×D8×C79 | C22 | semidirect |
| 26. C2×D8×C79 | C22 | semidirect |
| 27. #127×C79 | C22 | semidirect |
| 28. C4×C8×C79 | C22 | semidirect |
| 39. D632 | D4 | semidirect |
| 74. D316 | D8 | semidirect |
| 75. D316 | C2×D4 | semidirect |
| 80. C8×C79 | C2×D4 | semidirect |
| 92. C2×D79 | C2×D8 | semidirect |
| 94. C4×C79 | C2×D8 | semidirect |
| 106. C79 | D4×D8 | semidirect |
| 109. #493 | D79 | semidirect |
| 120. C2×D8 | C2×D79 | semidirect |
| 121. C2×D8 | C2×D79 | semidirect |
| 123. #127 | C2×D79 | semidirect |
| 134. C4×C8 | C2×D79 | semidirect |
| 187. C8 | D4×D79 | semidirect |
| 202. C4 | D8×D79 | semidirect |