Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19098925 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098912 | C2 | semidirect |
| 7. #19098908 | C2 | semidirect |
| 8. #19098563 | C2 | semidirect |
| 9. #19098561 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #489×C79 | C2 | semidirect |
| 141. C79 | #3141 | semidirect |
| 147. #489 | D79 | semidirect |