Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19098433 | C2 | semidirect |
| 4. #19098326 | C2 | semidirect |
| 5. #336×C79 | C2 | semidirect |
| 93. C79 | #2071 | semidirect |
| 98. #336 | D79 | semidirect |