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 |
|---|---|---|
| 1. #19099191 | C2 | semidirect |
| 3. #19098871 | C2 | semidirect |
| 4. #19098864 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098849 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. C2×#14579093 | C2 | semidirect |
| 11. #424×C79 | C2 | semidirect |
| 42. #11929624 | Q8 | semidirect |
| 124. C79 | #3084 | semidirect |
| 133. #424 | D79 | semidirect |