Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
154 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19098686 | C2 | semidirect |
| 3. #19098385 | C2 | semidirect |
| 4. #19098376 | C2 | semidirect |
| 5. #19098372 | C2 | semidirect |
| 6. #19098341 | C2 | semidirect |
| 7. #442×C79 | C2 | semidirect |
| 10. #14579105 | C4 | semidirect |
| 11. #14579102 | C4 | semidirect |
| 22. Dic316 | C2×C4 | semidirect |
| 24. D632 | C2×C4 | semidirect |
| 29. C79⋊C16 | C2×C4 | semidirect |
| 69. C79 | AGL(1,ℤ/16) | semidirect |
| 72. #442 | D79 | semidirect |