Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
524 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19098494 | C2 | semidirect |
| 3. #19098493 | C2 | semidirect |
| 4. #19098483 | C2 | semidirect |
| 5. #19098482 | C2 | semidirect |
| 31. C22×Dic79 | Q8 | semidirect |
| 103. C79 | #2659 | semidirect |