Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 1. #19099194 | C2 | semidirect |
| 3. #19098868 | C2 | semidirect |
| 4. #19098865 | C2 | semidirect |
| 5. #19098856 | C2 | semidirect |
| 6. #19098841 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. C2×#14579094 | C2 | semidirect |
| 9. #19098591 | C2 | semidirect |
| 64. #41×C79 | Q8 | semidirect |
| 124. C79 | #3083 | semidirect |
| 166. #41 | Dic158 | semidirect |