Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099276 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098889 | C2 | semidirect |
| 4. #19098887 | C2 | semidirect |
| 5. #19098852 | C2 | semidirect |
| 6. #19098800 | C2 | semidirect |
| 7. #19098799 | C2 | semidirect |
| 8. #19098645 | C2 | semidirect |
| 9. C8×C22⋊D79 | C2 | semidirect |
| 10. #19098600 | C2 | semidirect |
| 11. #427×C79 | C2 | semidirect |
| 121. C79 | #3341 | semidirect |
| 132. #427 | D79 | semidirect |