Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
480 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #19098668 | C2 | direct (N × H) |
| 10. C2×#11929614 | C4 | semidirect |
| 36. #11929614 | C2×C4 | semidirect |
| 98. C2×C79 | #441 | semidirect |
| 103. C79 | C2×#441 | semidirect |
| 201. C2 | #19098668 | direct (N × H) |