Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
150 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 10. #14579107 | C4 | direct (N × H) |
| 55. C4×C79 | Q32 | semidirect |
| 64. C79 | C4×Q32 | semidirect |
| 121. C4 | #14579107 | direct (N × H) |