Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
144 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19098981 | C2 | semidirect |
| 2. #19098980 | C2 | semidirect |
| 4. #19098383 | C2 | semidirect |
| 5. #19098346 | C2 | semidirect |
| 6. #19098338 | C2 | semidirect |
| 7. #350×C79 | C2 | semidirect |
| 72. C79 | #2171 | semidirect |
| 78. #350 | D79 | semidirect |