Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 157 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×Dic316 | C2 | semidirect |
| 4. C2×C4×Dic158 | C2 | semidirect |
| 5. #19098786 | C2 | direct (N × H) |
| 6. C2×#14579086 | C2 | semidirect |
| 8. C2×C4⋊C8×C79 | C2 | semidirect |
| 13. C2×Dic316 | C22 | semidirect |
| 19. C4×Dic158 | C22 | semidirect |
| 25. #14579086 | C22 | semidirect |
| 30. C4⋊C8×C79 | C22 | semidirect |
| 110. C2×C79 | #464 | semidirect |
| 116. C79 | C2×#464 | semidirect |
| 122. C2×C4⋊C8 | D79 | semidirect |
| 144. C4⋊C8 | C2×D79 | semidirect |
| 227. C2 | #19098786 | direct (N × H) |