Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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. #19099099 | C2 | semidirect |
| 2. #19098964 | C2 | semidirect |
| 3. #19098948 | C2 | semidirect |
| 4. #19098919 | C2 | semidirect |
| 6. #19098794 | C2 | semidirect |
| 7. Q16×Dic79 | C2 | semidirect |
| 8. #19098648 | C2 | semidirect |
| 9. #19098645 | C2 | semidirect |
| 10. C2×C8×Dic79 | C2 | semidirect |
| 11. #467×C79 | C2 | semidirect |
| 119. C79 | #3168 | semidirect |
| 124. #467 | D79 | semidirect |