Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
314 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19099040 | C2 | semidirect |
| 5. C2×#14579079 | C2 | semidirect |
| 6. #19098319 | C2 | semidirect |
| 7. H(3,ℤ/4)×C79 | C2 | semidirect |
| 11. #14579161 | C4 | semidirect |
| 12. #14579149 | C4 | semidirect |
| 110. C79 | #1912 | semidirect |
| 117. H(3,ℤ/4) | D79 | semidirect |