Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
126 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19098961 | C2 | semidirect |
| 3. #19098386 | C2 | semidirect |
| 5. #364×C79 | C2 | semidirect |
| 17. Dic316 | Q8 | semidirect |
| 19. D632 | Q8 | semidirect |
| 53. C79 | #2230 | semidirect |
| 57. #364 | D79 | semidirect |