Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
232 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19098605 | C2 | semidirect |
| 4. #19098521 | C2 | semidirect |
| 5. #19098331 | C2 | semidirect |
| 6. #19098327 | C2 | semidirect |
| 23. #100×C79 | C4 | semidirect |
| 101. C79 | #1931 | semidirect |
| 122. #100 | Dic79 | semidirect |