Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099273 | C2 | semidirect |
| 2. #19098968 | C2 | semidirect |
| 3. #19098965 | C2 | semidirect |
| 4. #19098864 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 8. C8×Q8×C79 | C2 | semidirect |
| 32. D632 | Q8 | semidirect |
| 82. C79 | #3380 | semidirect |
| 88. C8×Q8 | D79 | semidirect |