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. #19099214 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098878 | C2 | semidirect |
| 4. #19098876 | C2 | semidirect |
| 5. #19098842 | C2 | semidirect |
| 6. #19098800 | C2 | semidirect |
| 7. #19098799 | C2 | semidirect |
| 8. #19098645 | C2 | semidirect |
| 9. C8×C22⋊D79 | C2 | semidirect |
| 10. #107×D79 | C2 | semidirect |
| 11. C2×#107×C79 | C2 | semidirect |
| 81. C22⋊D79 | D8 | semidirect |
| 95. C8×C79 | #41 | semidirect |
| 124. C79 | #3334 | semidirect |
| 135. C2×#107 | D79 | semidirect |
| 221. C8 | #11929624 | semidirect |