Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
544 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic158 | C2 | semidirect |
| 3. #19098663 | C2 | direct (N × H) |
| 4. C2×#14579094 | C2 | semidirect |
| 5. C2×#14579084 | C2 | semidirect |
| 7. C2×#14579072 | C2 | semidirect |
| 10. C2×#11929612 | C4 | semidirect |
| 15. C4×Dic158 | C22 | semidirect |
| 19. #14579094 | C22 | semidirect |
| 20. #14579084 | C22 | semidirect |
| 22. #14579072 | C22 | semidirect |
| 32. C2×Dic158 | C2×C4 | semidirect |
| 36. #11929612 | C2×C4 | semidirect |
| 38. C2×C79⋊C8 | C2×C4 | semidirect |
| 86. Dic158 | C22×C4 | semidirect |
| 88. C79⋊C8 | C22×C4 | semidirect |
| 106. C2×C79 | #440 | semidirect |
| 111. C79 | C2×#440 | semidirect |
| 217. C2 | #19098663 | direct (N × H) |