Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099120 | C2 | semidirect |
| 3. #19098871 | C2 | semidirect |
| 4. #19098849 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098804 | C2 | semidirect |
| 8. #19098786 | C2 | semidirect |
| 9. #19098774 | C2 | semidirect |
| 10. #19098769 | C2 | semidirect |
| 11. C2×C4⋊C8×C79 | C2 | semidirect |
| 134. C79 | #3248 | semidirect |
| 145. C2×C4⋊C8 | D79 | semidirect |