Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19098979 | C2 | semidirect |
| 3. #19098383 | C2 | semidirect |
| 4. #19098348 | C2 | semidirect |
| 5. #19098347 | C2 | semidirect |
| 6. #19098338 | C2 | semidirect |
| 7. #504×C79 | C2 | semidirect |
| 72. C79 | #2171 | semidirect |
| 74. #504 | D79 | semidirect |