Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098933 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098920 | C2 | semidirect |
| 5. #19098915 | C2 | semidirect |
| 6. #19098571 | C2 | semidirect |
| 9. C2×#14579084 | C2 | semidirect |
| 10. #19098519 | C2 | semidirect |
| 11. #544×C79 | C2 | semidirect |
| 128. C79 | #3137 | semidirect |
| 129. #544 | D79 | semidirect |