Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 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 |
|---|---|---|
| 2. #19098616 | C2 | semidirect |
| 3. #19098308 | C2 | semidirect |
| 4. #19098306 | C2 | semidirect |
| 5. #432×C79 | C2 | semidirect |
| 81. C79 | #1553 | semidirect |
| 83. #432 | D79 | semidirect |