Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
160 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 1. C4⋊(C79⋊C16) | C2 | semidirect |
| 3. C4×C79⋊C16 | C2 | semidirect |
| 31. C2×C4×C79 | C16 | semidirect |
| 58. C79 | #2162 | semidirect |
| 89. C2×C4 | C79⋊C16 | semidirect |