Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #19099141 | C2 | semidirect |
| 2. #19098899 | C2 | semidirect |
| 3. #19098877 | C2 | semidirect |
| 4. #19098809 | C2 | semidirect |
| 5. #19098804 | C2 | semidirect |
| 6. #19098799 | C2 | semidirect |
| 7. #19098727 | C2 | semidirect |
| 8. #19098710 | C2 | semidirect |
| 9. #408×C79 | C2 | semidirect |
| 120. C79 | #3203 | semidirect |
| 129. #408 | D79 | semidirect |