Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
416 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #19098906 | C2 | direct (N × H) |
| 4. C2×#14579092 | C2 | semidirect |
| 5. C2×#14579086 | C2 | semidirect |
| 6. C2×#14579084 | C2 | semidirect |
| 8. C2×#107×C79 | C2 | semidirect |
| 21. #14579092 | C22 | semidirect |
| 22. #14579086 | C22 | semidirect |
| 23. #14579084 | C22 | semidirect |
| 28. #107×C79 | C22 | semidirect |
| 101. C2×C79 | #485 | semidirect |
| 107. C79 | C2×#485 | semidirect |
| 111. C2×#107 | D79 | semidirect |
| 131. #107 | C2×D79 | semidirect |
| 209. C2 | #19098906 | direct (N × H) |