Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
278 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19099189 | C2 | semidirect |
| 5. #19098330 | C2 | semidirect |
| 6. #19098329 | C2 | semidirect |
| 7. #342×C79 | C2 | semidirect |
| 21. C23×D79 | Q8 | semidirect |
| 32. C22×Dic79 | Q8 | semidirect |
| 118. C79 | #2032 | semidirect |
| 125. #342 | D79 | semidirect |