Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 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 |
|---|---|---|
| 1. C22×#11929624 | C2 | semidirect |
| 2. C2×#14579194 | C2 | semidirect |
| 3. C2×#14579189 | C2 | semidirect |
| 4. #19099074 | C2 | semidirect |
| 5. #19098727 | C2 | semidirect |
| 6. #19098710 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 8. #19098569 | C2 | semidirect |
| 9. #407×C79 | C2 | semidirect |
| 21. C2×Dic316 | C22 | semidirect |
| 22. C2×#11929613 | C22 | semidirect |
| 23. C2×#11929613 | C22 | semidirect |
| 24. C2×D632 | C22 | semidirect |
| 26. #14579140 | C22 | semidirect |
| 27. #14579135 | C22 | semidirect |
| 31. #14579086 | C22 | semidirect |
| 32. #14579083 | C22 | semidirect |
| 36. C22⋊C8×C79 | C22 | semidirect |
| 45. C2×Dic158 | D4 | semidirect |
| 50. C2×D316 | D4 | semidirect |
| 146. C79 | #3005 | semidirect |
| 155. #407 | D79 | semidirect |
| 182. C22⋊C8 | C2×D79 | semidirect |