Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19098933 | C2 | semidirect |
| 4. #19098932 | C2 | semidirect |
| 5. #19098931 | C2 | semidirect |
| 6. #19098912 | C2 | semidirect |
| 9. #491×C79 | C2 | semidirect |
| 88. C79 | #3139 | semidirect |
| 94. #491 | D79 | semidirect |