Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099259 | C2 | semidirect |
| 2. #19098965 | C2 | semidirect |
| 3. #19098888 | C2 | semidirect |
| 4. #19098877 | C2 | semidirect |
| 5. #19098864 | C2 | semidirect |
| 6. #19098816 | C2 | semidirect |
| 7. C4×D632 | C2 | semidirect |
| 8. #19098605 | C2 | semidirect |
| 9. #436×C79 | C2 | semidirect |
| 103. C79 | #3355 | semidirect |
| 111. #436 | D79 | semidirect |