Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#14579183 | C2 | semidirect |
| 2. C2×#14579180 | C2 | semidirect |
| 3. #19099231 | C2 | semidirect |
| 4. #19098938 | C2 | semidirect |
| 5. #19098800 | C2 | semidirect |
| 6. #19098762 | C2 | semidirect |
| 7. #19098709 | C2 | semidirect |
| 8. #19098706 | C2 | semidirect |
| 9. #19098657 | C2 | semidirect |
| 10. C8×C22⋊D79 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 56. Dic316 | D4 | semidirect |
| 134. Dic79 | #135 | semidirect |
| 143. C79 | #3287 | semidirect |
| 149. #466 | D79 | semidirect |