Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
656 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 165 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×SD16×D79 | C2 | semidirect |
| 2. C4⋊Q8×D79 | C2 | semidirect |
| 4. #19098937 | C2 | semidirect |
| 5. #19098936 | C2 | semidirect |
| 6. #19098935 | C2 | semidirect |
| 7. #19098934 | C2 | semidirect |
| 8. C4×C8×D79 | C2 | semidirect |
| 9. #492×C79 | C2 | semidirect |
| 13. C2×#11929613 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 15. C2×#11929611 | C22 | semidirect |
| 18. #14579161 | C22 | semidirect |
| 20. #14579159 | C22 | semidirect |
| 26. C4×C79⋊C8 | C22 | semidirect |
| 27. C8×Dic79 | C22 | semidirect |
| 28. C2×SD16×C79 | C22 | semidirect |
| 29. C4⋊Q8×C79 | C22 | semidirect |
| 31. C4×C8×C79 | C22 | semidirect |
| 49. C8×D79 | D4 | semidirect |
| 80. C4×D79 | SD16 | semidirect |
| 84. C8×C79 | C2×D4 | semidirect |
| 85. C79⋊C8 | C2×D4 | semidirect |
| 95. C4×C79 | C2×SD16 | semidirect |
| 99. Dic79 | C2×SD16 | semidirect |
| 104. D79 | #492 | direct (N × H) |
| 106. C79 | C2×#492 | semidirect |
| 114. #492 | D79 | direct (N × H) |
| 123. C2×SD16 | C2×D79 | semidirect |
| 128. C4⋊Q8 | C2×D79 | semidirect |
| 137. C4×C8 | C2×D79 | semidirect |
| 191. C8 | D4×D79 | semidirect |
| 204. C4 | SD16×D79 | semidirect |