Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14579161 | C2 | semidirect |
| 3. #19098957 | C2 | semidirect |
| 4. #19098932 | C2 | semidirect |
| 5. #19098774 | C2 | semidirect |
| 6. #19098769 | C2 | semidirect |
| 7. #19098721 | C2 | semidirect |
| 9. #432×C79 | C2 | semidirect |
| 116. C79 | #3218 | semidirect |
| 125. #432 | D79 | semidirect |