Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19098867 | C2 | semidirect |
| 3. #19098860 | C2 | semidirect |
| 4. #19098855 | C2 | semidirect |
| 5. #19098840 | C2 | semidirect |
| 6. #19098606 | C2 | semidirect |
| 7. C2×#14579094 | C2 | semidirect |
| 8. #19098590 | C2 | semidirect |
| 11. #544×C79 | C2 | semidirect |
| 42. #11929624 | Q8 | semidirect |
| 124. C79 | #3083 | semidirect |
| 125. #544 | D79 | semidirect |