Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 1. Q8×D316 | C2 | semidirect |
| 2. #19098922 | C2 | semidirect |
| 3. #19098913 | C2 | semidirect |
| 4. #19098858 | C2 | semidirect |
| 5. #19098843 | C2 | semidirect |
| 7. #19098765 | C2 | semidirect |
| 8. #19098694 | C2 | semidirect |
| 9. #19098661 | C2 | semidirect |
| 11. #556×C79 | C2 | semidirect |
| 123. C79 | #3367 | semidirect |
| 124. #556 | D79 | semidirect |