Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#14579126 | C2 | semidirect |
| 4. #19098469 | C2 | semidirect |
| 5. #19098457 | C2 | semidirect |
| 6. #19098435 | C2 | semidirect |
| 7. #19098432 | C2 | semidirect |
| 8. #19098409 | C2 | semidirect |
| 12. #14579148 | C4 | semidirect |
| 32. C2×Dic158 | C2×C4 | semidirect |
| 44. C22⋊Dic79 | C2×C4 | semidirect |
| 46. C4×Dic79 | C2×C4 | semidirect |
| 112. C79 | #2326 | semidirect |