Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4⋊Q8×D79 | C2 | semidirect |
| 3. #19098934 | C2 | semidirect |
| 4. #19098912 | C2 | semidirect |
| 5. #19098769 | C2 | semidirect |
| 6. #19098768 | C2 | semidirect |
| 7. #19098765 | C2 | semidirect |
| 8. #19098703 | C2 | semidirect |
| 9. #19098700 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 114. C4×D79 | SD16 | semidirect |
| 149. C79 | #3206 | semidirect |
| 157. #461 | D79 | semidirect |