Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19099116 | C2 | semidirect |
| 5. #19098324 | C2 | semidirect |
| 6. #19098320 | C2 | semidirect |
| 7. #344×C79 | C2 | semidirect |
| 28. C2×Dic158 | Q8 | semidirect |
| 29. C2×D316 | Q8 | semidirect |
| 103. C79 | #2031 | semidirect |
| 108. #344 | D79 | semidirect |