Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099213 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098875 | C2 | semidirect |
| 4. #19098874 | C2 | semidirect |
| 5. #19098841 | C2 | semidirect |
| 6. #19098796 | C2 | semidirect |
| 7. D8×Dic79 | C2 | semidirect |
| 8. C8×C22⋊D79 | C2 | semidirect |
| 9. C2×#14579095 | C2 | semidirect |
| 10. #107×D79 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 82. C22⋊D79 | D8 | semidirect |
| 95. C8×C79 | #41 | semidirect |
| 124. C79 | #3334 | semidirect |
| 131. #466 | D79 | semidirect |
| 221. C8 | #11929623 | semidirect |