Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11929611 | C2 | semidirect |
| 2. C2×#14579168 | C2 | semidirect |
| 4. #19098811 | C2 | semidirect |
| 5. #19098794 | C2 | semidirect |
| 6. #19098599 | C2 | semidirect |
| 7. #19098572 | C2 | semidirect |
| 8. #19098567 | C2 | semidirect |
| 9. #536×C79 | C2 | semidirect |
| 16. C2×#11929608 | C22 | semidirect |
| 18. C22×C79⋊C8 | C22 | semidirect |
| 24. #14579094 | C22 | semidirect |
| 25. #14579092 | C22 | semidirect |
| 26. #14579085 | C22 | semidirect |
| 33. C22⋊Q8×C79 | C22 | semidirect |
| 46. C2×C79⋊C8 | D4 | semidirect |
| 121. C79 | #3057 | semidirect |
| 124. #536 | D79 | semidirect |
| 147. C22⋊Q8 | C2×D79 | semidirect |