Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
292 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×C4×C79⋊C8 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. #389×C79 | C2 | semidirect |
| 15. #14579081 | C4 | semidirect |
| 119. C79 | #1934 | semidirect |
| 124. #389 | D79 | semidirect |