Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#14579152 | C2 | semidirect |
| 3. #19098971 | C2 | semidirect |
| 4. #19098926 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098879 | C2 | semidirect |
| 7. #19098876 | C2 | semidirect |
| 8. #19098866 | C2 | semidirect |
| 9. #19098865 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #480×C79 | C2 | semidirect |
| 135. C79 | #3234 | semidirect |
| 143. #480 | D79 | semidirect |