Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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. #19099286 | C2 | semidirect |
| 2. #19099273 | C2 | semidirect |
| 3. #19098918 | C2 | semidirect |
| 4. #19098914 | C2 | semidirect |
| 5. #19098871 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 8. #19098769 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 11. C8×Q8×C79 | C2 | semidirect |
| 121. C79 | #3360 | semidirect |
| 130. C8×Q8 | D79 | semidirect |