Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #19098314 | C2 | semidirect |
| 5. #19098313 | C2 | semidirect |
| 6. #19098313 | C2 | semidirect |
| 7. #334×C79 | C2 | semidirect |
| 77. C79 | #1570 | semidirect |
| 84. #334 | D79 | semidirect |