Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099119 | C2 | semidirect |
| 3. #19098924 | C2 | semidirect |
| 4. #19098921 | C2 | semidirect |
| 5. #19098920 | C2 | semidirect |
| 6. #19098918 | C2 | semidirect |
| 7. #19098917 | C2 | semidirect |
| 8. #19098570 | C2 | semidirect |
| 10. C4×#11929607 | C2 | semidirect |
| 11. #488×C79 | C2 | semidirect |
| 15. #14579160 | C22 | semidirect |
| 16. #14579153 | C22 | semidirect |
| 26. #14579086 | C22 | semidirect |
| 27. #14579085 | C22 | semidirect |
| 28. #14579084 | C22 | semidirect |
| 32. #14579071 | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 34. #125×C79 | C22 | semidirect |
| 36. #103×C79 | C22 | semidirect |
| 38. C4×C8×C79 | C22 | semidirect |
| 116. C79 | #3140 | semidirect |
| 124. #488 | D79 | semidirect |
| 133. #125 | C2×D79 | semidirect |
| 147. #103 | C2×D79 | semidirect |
| 154. C4×C8 | C2×D79 | semidirect |