Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
290 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 97 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×#14579092 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098318 | C2 | semidirect |
| 7. C4×C4⋊C4×C79 | C2 | semidirect |
| 16. #14579081 | C4 | semidirect |
| 119. C79 | #1926 | semidirect |
| 124. C4×C4⋊C4 | D79 | semidirect |