Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
390 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19099118 | C2 | semidirect |
| 3. #19098958 | C2 | semidirect |
| 4. #19098957 | C2 | semidirect |
| 5. #19098925 | C2 | semidirect |
| 6. #19098772 | C2 | semidirect |
| 7. #19098762 | C2 | semidirect |
| 8. #19098728 | C2 | semidirect |
| 9. #19098726 | C2 | semidirect |
| 10. #19098618 | C2 | semidirect |
| 11. #489×C79 | C2 | semidirect |
| 142. C79 | #3216 | semidirect |
| 148. #489 | D79 | semidirect |