Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. C4⋊Q8×D79 | C2 | semidirect |
| 3. #19098954 | C2 | semidirect |
| 4. #19098930 | C2 | semidirect |
| 5. #19098774 | C2 | semidirect |
| 6. #19098770 | C2 | semidirect |
| 7. #19098768 | C2 | semidirect |
| 8. #19098720 | C2 | semidirect |
| 10. #19098619 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 140. C79 | #3218 | semidirect |
| 148. #461 | D79 | semidirect |