Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
656 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 173 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×#14579189 | C2 | semidirect |
| 2. #19099113 | C2 | semidirect |
| 3. C2×#14579158 | C2 | semidirect |
| 4. #19098952 | C2 | semidirect |
| 5. #19098940 | C2 | semidirect |
| 6. #19098936 | C2 | semidirect |
| 7. C4×M16×C79 | C2 | semidirect |
| 12. C2×#11929613 | C22 | semidirect |
| 13. C2×D632 | C22 | semidirect |
| 14. #14579161 | C22 | semidirect |
| 18. #14579158 | C22 | semidirect |
| 19. #14579149 | C22 | semidirect |
| 24. #97×C79 | C22 | semidirect |
| 25. C4×C8×C79 | C22 | semidirect |
| 45. M16×C79 | D4 | semidirect |
| 71. C8×C79 | C2×D4 | semidirect |
| 82. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 91. C79 | #3151 | semidirect |
| 98. C4×M16 | D79 | semidirect |
| 115. #97 | C2×D79 | semidirect |
| 116. C4×C8 | C2×D79 | semidirect |
| 134. M16 | D316 | semidirect |
| 162. C8 | C2×D316 | semidirect |
| 174. C4 | #14579189 | semidirect |