Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 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. #19099120 | C2 | semidirect |
| 3. #19098923 | C2 | semidirect |
| 4. #19098918 | C2 | semidirect |
| 5. #19098573 | C2 | semidirect |
| 7. C4×M16×C79 | C2 | semidirect |
| 10. #14579161 | C22 | semidirect |
| 11. #14579153 | C22 | semidirect |
| 19. #14579086 | C22 | semidirect |
| 23. #97×C79 | C22 | semidirect |
| 24. C4×C8×C79 | C22 | semidirect |
| 84. C79 | #3140 | semidirect |
| 91. C4×M16 | D79 | semidirect |
| 107. #97 | C2×D79 | semidirect |
| 108. C4×C8 | C2×D79 | semidirect |