Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19098694 | C2 | semidirect |
| 4. #19098315 | C2 | semidirect |
| 5. #19098309 | C2 | semidirect |
| 7. #475×C79 | C2 | semidirect |
| 62. C79⋊C8 | SD16 | semidirect |
| 80. C79 | #1686 | semidirect |
| 82. #475 | D79 | semidirect |