Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. C2×#14579192 | C2 | semidirect |
| 3. C22×#11929614 | C2 | semidirect |
| 4. #19098723 | C2 | semidirect |
| 5. #19098718 | C2 | semidirect |
| 6. #19098571 | C2 | semidirect |
| 7. #19098557 | C2 | semidirect |
| 8. #19098530 | C2 | semidirect |
| 9. #536×C79 | C2 | semidirect |
| 141. C79 | #3011 | semidirect |
| 145. #536 | D79 | semidirect |