Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 141 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. D4×D316 | C2 | semidirect |
| 3. #19098940 | C2 | semidirect |
| 4. #19098800 | C2 | semidirect |
| 5. #19098758 | C2 | semidirect |
| 6. #19098698 | C2 | semidirect |
| 7. C8×D316 | C2 | semidirect |
| 8. C4×D8×C79 | C2 | semidirect |
| 10. C2×D4×D79 | C22 | semidirect |
| 11. C2×D632 | C22 | semidirect |
| 12. C2×D632 | C22 | semidirect |
| 13. C2×#11929609 | C22 | semidirect |
| 15. C2×C8×D79 | C22 | semidirect |
| 16. #14579158 | C22 | semidirect |
| 17. #14579136 | C22 | semidirect |
| 21. C4⋊(C79⋊C8) | C22 | semidirect |
| 22. #14579081 | C22 | semidirect |
| 23. (C2×D79)⋊C8 | C22 | semidirect |
| 25. C4×D4×C79 | C22 | semidirect |
| 26. #107×C79 | C22 | semidirect |
| 27. #102×C79 | C22 | semidirect |
| 28. C4×C8×C79 | C22 | semidirect |
| 50. D8×C79 | D4 | semidirect |
| 63. D4×C79 | C2×D4 | semidirect |
| 76. D316 | D8 | direct (N × H) |
| 80. C8×C79 | C2×D4 | semidirect |
| 92. C2×D79 | C2×D8 | semidirect |
| 95. C4×C79 | C2×D8 | semidirect |
| 106. C79 | D4×D8 | semidirect |
| 113. C4×D8 | D79 | semidirect |
| 128. C4×D4 | C2×D79 | semidirect |
| 129. #107 | C2×D79 | semidirect |
| 132. #102 | C2×D79 | semidirect |
| 134. C4×C8 | C2×D79 | semidirect |
| 151. D8 | D316 | direct (N × H) |
| 176. D4 | C2×D316 | semidirect |
| 187. C8 | C2×D316 | semidirect |
| 202. C4 | D8×D79 | semidirect |