Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#14579149 | C2 | semidirect |
| 2. #19098945 | C2 | semidirect |
| 3. #19098920 | C2 | semidirect |
| 4. #19098785 | C2 | semidirect |
| 5. #19098778 | C2 | semidirect |
| 6. #19098718 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. #19098701 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 11. #529×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579084 | C22 | semidirect |
| 26. #14579084 | C22 | semidirect |
| 31. C4×C79⋊C8 | C22 | semidirect |
| 33. #125×C79 | C22 | semidirect |
| 34. #124×C79 | C22 | semidirect |
| 38. C4×Q8×C79 | C22 | semidirect |
| 40. C4×D4×C79 | C22 | semidirect |
| 144. C79 | #3211 | semidirect |
| 145. #529 | D79 | semidirect |
| 163. #125 | C2×D79 | semidirect |
| 168. #124 | C2×D79 | semidirect |
| 172. C4×Q8 | C2×D79 | semidirect |
| 174. C4×D4 | C2×D79 | semidirect |