Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
324 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 11. #14579126 | C4 | semidirect |
| 17. #14579086 | C4 | semidirect |
| 18. #14579084 | C4 | semidirect |
| 82. Dic158 | C42 | semidirect |
| 110. C79 | #1763 | semidirect |