Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19098572 | C2 | semidirect |
| 5. #19098333 | C2 | semidirect |
| 6. #19098319 | C2 | semidirect |
| 7. #519×C79 | C2 | semidirect |
| 11. C2×#11929614 | C4 | semidirect |
| 12. C2×#11929611 | C4 | semidirect |
| 110. C79 | #1905 | semidirect |
| 112. #519 | D79 | semidirect |