Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579152 | C2 | semidirect |
| 3. #19098916 | C2 | direct (N × H) |
| 4. C2×#14579086 | C2 | semidirect |
| 5. C2×#14579084 | C2 | semidirect |
| 7. C2×C8×Dic79 | C2 | semidirect |
| 12. #14579152 | C22 | semidirect |
| 21. #14579086 | C22 | semidirect |
| 22. #14579084 | C22 | semidirect |
| 24. C8×Dic79 | C22 | semidirect |
| 102. C2×C79 | #488 | semidirect |
| 107. C79 | C2×#488 | semidirect |
| 209. C2 | #19098916 | direct (N × H) |