Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
326 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19098968 | C2 | semidirect |
| 4. #19098959 | C2 | semidirect |
| 5. #19098913 | C2 | semidirect |
| 7. #19098872 | C2 | semidirect |
| 9. #487×C79 | C2 | semidirect |
| 103. C79 | #3231 | semidirect |
| 109. #487 | D79 | semidirect |