Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #19098915 | C2 | semidirect |
| 4. #19098914 | C2 | semidirect |
| 5. #19098913 | C2 | semidirect |
| 6. #19098912 | C2 | semidirect |
| 9. #487×C79 | C2 | semidirect |
| 108. D79 | #487 | direct (N × H) |
| 110. C79 | C2×#487 | semidirect |
| 117. #487 | D79 | direct (N × H) |